What is the solution to this system of equations? 2x+y-5z=4 x+3y+z=5 3x-y-4z=-11

What Is The Solution To This System Of Equations? 2x+y-5z=4 X+3y+z=5 3x-y-4z=-11

Answers

Answer 1

For the given linear system equations, the value for the variables are: x=-2, y=4, and z=-5 - Option C.

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

The question gives:

2x+y-5z=4 (1)

x+3y+z=5  (2)

3x-y-4z=-11 (3)

First, you should sum equations 1 and 2. The results will be:

3x+4y-4z=9 then you have a new equation (4).

3x-y-4z=-11 (3)

3x+4y-4z= 9(4)

Now, you should multiply equation (3) by -1, then you will have:

-3x+y+4z=+11 (3)

3x+4y-4z=9 (4)

After that, you should sum the previous equations: (3) and (4).

5y=20

y=4

For find z, you should multiply equation 2 by -2. After that, you should sum equations 1 and 2.

2x+y-5z=4 (1)

-2x-6y-2z=-10  (2)

Thus, you will have:

-5y-7z=-6, like y=4 you have

-5*4-7z=-6

-20-7z=-6

-7z=14

z=-2

If z=-2 and y=4 from equation 2, you can find x.

x+3y+z=5

x+3*4-2=5

x+12-2=5

x+10=5

x=5-10

x=-5

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Related Questions

For each of the descriptions below, create a system of linear inequalities (please help will mark brainliest for whoever answers correctly!)

Answers

Answer:

hope you can understand

Select the correct choice that completes the sentence below.
The expression
f(x+h)-f(x)
h
is called the
of f.

Answers

Answer:

difference quotient

Step-by-step explanation:

How many right angles are formed by perpendicular lines in spherical geometry?
A.
8
B.
6
C.
2
D.
3

Answers

Answer:
A. 8

Steps:
Perpendicular lines form 8 right angles.

Answer:

8

Step-by-step explanation:

I am good at math

9 less than the sum of x and y

Answers

If we need to turn this into a mathematical expression:

Answer: (x + y) - 9

Step-by-step explanation:

    9 less than the sum of x and y

    (the sum of x and y) - 9

    (x + y) - 9

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What is the surface area of this 3d character based off the illustration. Can you provide explanation. Thank you.

Answers

The surface area of this 3d character based off the illustration will be 289.

How to explain the surface area?

It should be noted that the surface area simply means the amount of space that covers the outside of a shape.

Here the length of the shape is 17 and the width is also 17 as well. It should be noted that the width and length are determined by looking at the axis of the shapes drawn.

In this case, the area will be:

Length × Width

= 17 × 17

= 289

In conclusion, the surface area is 289.

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Which conversion factor should be used to convert the 152.5 g to moles?

Answers

Answer:

Step-by-step explanation:

You will need to know the   gram weight per mole from the periodic table for the element  ( or the molecule of elements) in question.

HELP ASAP!!!!! The graph compares temperatures and numbers of cyclists. The equation of the trend line for the scatterplot is y = 4x + 10. Predict the number of cyclists when the temperature is 12°C.

Answers

y=4x+10

So

Put x ax 12°C

Hence

y=4(12)+10y=48+10y=58

Option A

Answer:

Option A

Step-by-step explanation:

y=4x+10

So

Put x ax 12°C

Hence

y=4(12)+10

y=48+10

y=58

15+ 2x = 5 + 3x
what's the answer​

Answers

Answer:

x = 10

Step-by-step explanation:

rewrite this equation with x on the left and numbers on the right

2x - 3x = 5 - 15

-x = -10

x=10

give brainliest, please!

hope this helps :)

The value of x is x = 10

To solve a first degree equation, first: we add or subtract like terms. Finally, we split the terms of both equalities.

- In this equation, we're going to subtract the like terms -- and on the other side of the equation, we're going to also subtract the real terms.

Resolution

15 + 2x = 5 + 3x

2x - 3x = 5 - 10

-1x = -10

x = 10

So, the correct value is x = 10

PLEASE HELP!!!!!!!!!! I'll NAME BRAINLIEST!!!!!!
Classify the expression by the number of terms.
5y^2-8+6y^4

Answers

Answer:

5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.

Step-by-step explanation: Also pls answer by question

value of the discriminant for the equation -3x=-x^2+2x

Answers

Answer: 25

Step by Step Explanation:
1. Isolate the formula so everything is on one side and equal to 0. (-x^2 + 5x=0)
2. The formula used for the discriminant is b^2-4ac.
a=-1, b=5, c=0 sub in those values into the formula.
3. (5)^2 + 4(-1)(0) = 25

Which property is demonstrated in the equation 2 + 5 + 7 = 2 + 7 + 5

Answers

Associative Property of Addition

Detailed Explanation:

This property states that when three or more numbers are added, the sum is the same regardless of the grouping of the addends or the order of the numbers.

Helpppppp asap with this

Answers

Answer:

I have no clue, cant lie to you. God Bless you though.

Step-by-step explanation:

Cant see the full photo, What’s the question? I’d be happy to help if I had more context

i need help with this question

Answers

8 x 2(to the second power)
2x2=4
8x4=32
8b2 = 32

Find dy/dx of y = sin inverse ( x - 1 ).

Answers

[tex] \frac{1}{ \sqrt{1 - {(x - 1)}^{2} } } [/tex]

What is the value of x?
to
x = [? ]°

Answers

Answer: 30

Step-by-step explanation:

(Assuming the line is a tangent)

how do i solve log base 5 (x+9)=log base 5 (x+5)+1 solve for x and check both solutions to see if they are true or false

Answers

Step-by-step explanation:

[tex] log_{5}(x + 9) = log_{5}(x + 5) + 1[/tex]

[tex] \frac{ log(x + 9) }{ log(5) } = \frac{ log(x + 5) }{ log(5) } + 1[/tex]

[tex] log(x + 9) = log(x + 5) + log(5) [/tex]

[tex] log(x + 9) = log(5x + 25) [/tex]

[tex]x + 9 = 5x + 25[/tex]

[tex]x = - 4[/tex]

If we plug it in, it is true

A teacher randomly selects one student from a group of students. Fourteen students are wearing a black shirt, six students are wearing a red shirt, and nine students are wearing a blue shirt. What is the probability that the selected student is wearing a black shirt?

Answers

Answer:

14/29

Step-by-step explanation:

14/29 is the answer

Using the GCF factor the given expression: 21xy + 14y

7(3xy + 2y)
7y(3x + 2)
3(7xy + 14y)
7xy(3 +2)
ASAP

Answers

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

Greatest common factor of an expression

The greatest common factor is the value that will divide an expression without leaving a remainder.

Given the expression 21xy + 14y

Find the factors

21xy = 7 * 3 * x * y

14y = 7 * 2* y

From the factors above, it is clear that 7 and y are the greatest common factors.

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

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Factor out

21xy=3×7×y×x14y=2×7×y

So

7y is common hence 7y is GCF

Now factor up

7y(3x+2)

Option B

which inequality is represented by the graph

Answers

Answer:

This is your teacher if you do this again, I will contact your parents and you will get in big trouble.

Step-by-step explanation:

First draw the line on the graph. Then reflect each vertex of quadrilateral across the line to produce quadrilateral .

A four quadrant graph with a line and a quadrilateral with vertex.

Vertex Preimage Coordinates Vertex Image Coordinates
A (-3,-2) A' (-2,-3)
B (-2,-1) B' (-1,-2)
C (-1,-2) C' (-2,-1)
D (-1,-4) D' (-4,-1)

Answers

The equation of the line about which the quadrilateral is reflected will be y = x.

What is a reflection of the point?

It is the image of the point which is located in the opposite direction of a given point.

The rule of the refection is given will be

Firstly, the rule for reflecting a point about the line y = x is;

While reflecting on the line y = x, we get the reflected points by swapping the coordinates.

First, draw the line on the graph. Then reflect each vertex of quadrilateral across the line to produce quadrilateral.

Vertex Preimage Coordinates                  Vertex Image Coordinates

          A (-3,-2)                                                           A' (-2,-3)

          B (-2,-1)                                                            B' (-1,-2)

          C (-1,-2)                                                            C' (-2,-1)

          D (-1,-4)                                                            D' (-4,-1)

The diagram is given below.

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What is the area of triangle ABC?
A(2,1) B(4,7) C(6,3)

Answers

Answer: 10

Step-by-step explanation:

It appears that [tex]\overline{AC} \perp \overline{BC}[/tex], so to check if this is the case, we can use the slope formula.

[tex]m_{\overline{AC}}=\frac{3-1}{6-2}=\frac{1}{2}\\m_{\overline{BC}}=\frac{3-7}{6-4}=-2[/tex]

Since these slopes are negative reciprocals, we can see that this is the case. So, we can take [tex]\overline{AC}[/tex] as the base of the triangle and [tex]\overline{BC}[/tex] as the height of the triangle, and then use the formula [tex]A=\frac{1}{2}bh[/tex].

Using the distance formula,

[tex]AC=\sqrt{(6-2)^{2}+(3-1)^{2}}=\sqrt{16+4}=2\sqrt{5}\\BC=\sqrt{(4-6)^{2}+(7-3)^{2}}=\sqrt{4+16}=2\sqrt{5}[/tex]

So, the area is [tex]\frac{1}{2}(2\sqrt{5})(2\sqrt{5})=\boxed{10}[/tex]

What is the area of the hexagon below?

Answers

Last option, 24 i believe

please help please help​

Answers

Answer:

angleEAF=angleBAC (शिर्षभिमुख कोण भएर)

10x+90+5x=180 (सरल कोण भएर)

or, 15x+90=180

or, 15x=180-90

or, 15x=90

or, x=90÷15

or, x=4

Answer:

x=6

Step-by-step explanation:

90°+5x+10x=180°

90°+15x=180°

15x=180°-90°

15x=90°

x=90/15

=6

10×6=60

5×6=30

60°+30°=90°

90°+90°=180°

x=6 QED

In a year, a hospital admitted 4500 patients. If of the patients had heart or lung diseases,
how many patients had heart or lung diseases?

Answers

Answer:

4500

Step-by-step explanation:

all of them were admitted.

Parallel lines q and q are cut by transversal r forming 4 angles at each intersection. At the intersection of lines r and q, clockwise from top left, the angles are: 1, 2, 4, 3. At the intersection of lines r and s, clockwise from top left, the angles are: 5, 6, 8, 7.
Use the diagram to complete the statements.



Angles 1 and 5 are
because they are
angles.



Angles 4 and 6 are
because they are
angles.

Answers

Using the vertically opposite angles theorem and corresponding angles theorem, we have proven that alternate exterior angles are congruent

Angle theorems

From the question, we are to prove that alternate exterior angles are congruent.

In the given diagram, examples of alternate exterior angles are

∠1 and ∠8

∠2 and ∠7

Now, we will prove that ∠1 = ∠8

In the diagram, we can observe that

∠1 = ∠4 (Vertically opposite angles theorem)

and

∠4 = ∠8 (Corresponding angles theorem)

Then,

By the substitution property of equality

∠1 = ∠8

Hence, alternate exterior angles are congruent

Here is the complete and correct question:

Consider parallel lines cut by a transversal. Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.

Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.

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Answer:

Step-by-step explanation:

Parallel lines q and q are cut by transversal r forming 4 angles at each intersection. At the intersection of lines r and q, clockwise from top left, the angles are: 1, 2, 4, 3. At the intersection of lines r and s, clockwise from top left, the angles are: 5, 6, 8, 7.

Use the diagram to complete the statements.

Angles 1 and 5 are

✔ congruent

because they are

✔ corresponding

angles.

Angles 4 and 6 are

✔ supplementary

because they are

✔ same-side interior

angles.

A hiking trail is shown as 14cm on a map the scale is 1:150000 how far in km is it in real life.

Answers

the scale says that each unit (cm/km/in/...) on the map is 150,000 times that unit so:

14cm on the map

= 150,000×14cm

= 2,100,000 cm

= 2100 km

(= 2.1 Mm)

PLEASE HELP ME ASAP!!!

Answers

Answer:

5.5

Step-by-step explanation:

The longest string length is 12 3/4 (12.75)

The two shortest string lengths are 3 and 4 1/4 (4.25)

combine the length of the tow shortest string by adding them together,

3 + 4.25 = 7.25

to find how much longer the longest string you subtract the two numbers,

12.75 - 7.25 = 5.5

A total of 10,800 pharmacy technicians were hired last year in particular country. This is 3% of all pharmacy technicians employed in the country. How many pharmacy technicians are employed in the country?​

Answers

well, the total amount of technicians employed is 100% and that is "x" amount, now, we also know that 3% of of that is 10800, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 10800& 3 \end{array} \implies \cfrac{x}{10800}~~=~~\cfrac{100}{3} \\\\\\ 3x=1080000\implies x=\cfrac{1080000}{3}\implies x=360000[/tex]

Tess has a garden that is 4 1/2 feet wide and 6 3/4 feet long. How many feet of fencing does she need to put around all sides of her garden?

Answers

Answer:

11.25

Step-by-step explanation:

6 3/4 + 4 1/2


6. If b>6, then 3b + 3 could be
A. 18
B. 19
C. 20
D. 21
E. 22

Answers

Answer:

E. 22

Step-by-step explanation:

Hello!

We know that b>6, and we are asked to find the possible values for 3b + 3.

Let's directly substitute 6 for b:

3(6) + 318 = 321

Now, because b is greater than 6, and not equal to 6, any value greater than 21 will work.

The correct option is E. 22.

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