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solve each system using substitution 80. y = -7x + 12 y = 3x + 2

Question

solve each system using substitution 80. y = -7x + 12 y = 3x + 2

Explanation:

Step1: Substitute y from first equation

Set $-7x + 12 = 3x + 2$

Step2: Isolate x terms

$-7x - 3x = 2 - 12$
$\implies -10x = -10$

Step3: Solve for x

$x = \frac{-10}{-10} = 1$

Step4: Substitute x into second equation

$y = 3(1) + 2$
$\implies y = 3 + 2 = 5$

Answer:

$x=1$, $y=5$ or the ordered pair $(1, 5)$