Question

Solve the system of linear equations by elimination. 9x+2y=39 6x+13y=−9

Answer 1

y = -3

x = 5

Explanation:

$9x + 2y = 39 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (2)\\ 6x + 13y = - 9 \: \: \: \: \: \: \: \: \: \: \: \: ( - 3) \\ \\ 18x + 4y = 78 \\ - 18x - 39y = 27 \\ \\ - 35y = 105 \\ y = \frac{105}{ - 35} \\ y = - 3 \\ \\ \\ 9x + 2y = 39 \\ 9x + 2( - 3) = 39 \\ 9x - 6 = 39 \\ 9x = 39 + 6 \\ 9x = 45 \\ x = \frac{45}{9} \\ x = 5$