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
