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defon
3 years ago
14

What is the x-value in the solution to this equation of linear equations? 2x-y=11 x+3y=-5

Mathematics
2 answers:
saw5 [17]3 years ago
6 0

The solution to these linear equations is (4,-3)

So the x-value is 4

:)))


Otrada [13]3 years ago
6 0

Answer:

x=4

Step-by-step explanation:

To solve this system of equations you just have to multiply the first equation by 3 to eliminate the Y from the equations.

(2x-y=11) 3 = 6x-3y=33

x+3y=-5         x+3y=-5

Now you´ll add both equations:

6x+x=33-5

7x=28

x=\frac{28}{7}

x=4

So the answer to the x-value on this system of equations is 4.

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Your friend Mel says he has an easier way to solve this problem. Here are the first steps in his method.
damaskus [11]

Simplifying

2x2 + 6x + 4 = 24

Reorder the terms:

4 + 6x + 2x2 = 24

Solving

4 + 6x + 2x2 = 24

Solving for variable 'x'.

Reorder the terms:

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Combine like terms: 4 + -24 = -20

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Combine like terms: 24 + -24 = 0

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Factor out the Greatest Common Factor (GCF), '2'.

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Factor a trinomial.

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Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying

-5 + -1x = 0

Solving

-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

Divide each side by '-1'.

x = -5

Simplifying

x = -5

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Hello,

Here is your answer:

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Your answer is D.

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