Question

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 inverses, equation 1 can be multiplied by 2 -5 11

Explanation:

Step1: Identify x - coefficients

Equation 1 has x - coefficient 5, Equation 2 has x - coefficient - 2.

Step2: Determine multiplier

To make 5 and - 2 additive inverses, we multiply Equation 1 by 2. Because \(5\times2 = 10\) and \(-2\times5= - 10\) are additive inverses.

Answer:

2