Question

-5x+2y=6
-x+2y=-2
what is the solution to the system of equations?

Answer 1

Explanation:

`- 5x + 2y = 6 \\ - x + 2y = - 2 \\ \\ - 5x + 2y - ( - x + 2y) = 6 - ( - 2) \\ - 5x + 2y + x - 2y = 6 + 2 \\ - 4x = 8 \\ ( - 4x)/( - 4) = (8)/( - 4 ) \\ x = (- 2) \\ \\ -5x + 2y = 6 \\ - 5 * - 2 + 2y = 6 \\ 10 + 2y = 6 \\ 2y = 6 - 10 \\ 2y = - 4 \\ (2y)/(2) = ( - 4)/(2) \\ y = - 2 \\ now \: lets \: see \: whether \\ this \: equation \: is \: correct. \\ - x + 2y = - 2 \\ - ( - 2) + 2 * - 2 = - 2 \\ 2 + 2 * - 2 = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \\ yes \: this \: equation \: is \\ correct.`