Question

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

Answer 1

y = -3

x = 5

Step-by-step explanation:

`9x + 2y = 39 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (2)\\ 6x + 13y = - 9 \: \: \: \: \: \: \: \: \: \: \: \: ( - 3) \\ \\ 18x + 4y = 78 \\ - 18x - 39y = 27 \\ \\ - 35y = 105 \\ y = (105)/( - 35) \\ y = - 3 \\ \\ \\ 9x + 2y = 39 \\ 9x + 2( - 3) = 39 \\ 9x - 6 = 39 \\ 9x = 39 + 6 \\ 9x = 45 \\ x = (45)/(9) \\ x = 5`