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12) -3x - 8y = 20 -5x + y = 19

Question

  1. -3x - 8y = 20

-5x + y = 19

Explanation:

Step1: Isolate y in second equation

$y = 5x + 19$

Step2: Substitute y into first equation

$-3x - 8(5x + 19) = 20$

Step3: Simplify and solve for x

$-3x - 40x - 152 = 20$
$-43x = 172$
$x = \frac{172}{-43} = -4$

Step4: Substitute x back to find y

$y = 5(-4) + 19 = -20 + 19 = -1$

Answer:

$x = -4$, $y = -1$