Find the solution to this system:

Equation 1: 5x - 2y = -11

Equation 2: -2x + 5y = 17

Step 1: To create x-coefficients that are additive inverse, Equation 1 can be multiplied by

A.) 2

B.) -5

C.) 11

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The answer was 2

Solution:

Given system of equations are:

Equation 1: 5x - 2y = -11

Equation 2: -2x + 5y = 17

Step 1: To create x-coefficients that are additive inverse

Equation 1 can be multiplied by ?

The additive inverse of a number "x" is the number that, when added to "x" yields zero

Multiply eqn 1 by 2

2(5x - 2y = -11 )

10x - 4y = -22 eqn 3

Multiply eqn 2 by 5

5(-2x + 5y = 17)

-10x + 10y = 85 eqn 4

Now take eqn 3 and eqn 4

10x - 4y = -22

-10x + 10y = 85

So here, 10x and -10x will give 0

Thus, to create x-coefficients that are additive inverse, Equation 1 can be multiplied by 2

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step-by-step explanation:

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