Question

y = 5x - 7\\-3x - 2y = -12

Explanation:

Step1: Substitute $y=5x-7$ into second equation

$\boldsymbol{-3x - 2(5x - 7) = -12}$

Step2: Expand and simplify the equation

$-3x -10x +14 = -12$
$-13x = -12 -14$
$-13x = -26$

Step3: Solve for $x$

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

Step4: Substitute $x=2$ into $y=5x-7$

$y = 5(2) - 7$

Step5: Calculate the value of $y$

$y = 10 - 7 = 3$

Answer:

$x=2$, $y=3$