Question

Solve the system of linear equations by substitution.

Answer 1

Answer:

$x = 2 \\ y = 3$

$- 5x + y = - 7.......(1) \\ - 3x - 2y = - 12......(2) \\ from \: (1) \\ y = - 7 + 5x \\ substitute \: in \: (2) \\ - 3x - 2( - 7 + 5x) = - 12 \\ - 3x + 14 - 10x = - 12$

$- 13x = - 26 \\ x = \frac{ 26}{13} \\ x = 2$

$y = - 7 + 5x \\ = - 7 + 5 \times 2 \\ = - 7 + 10 \\ y= 3$