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solve using elimination. -x + 4y = 8 -3x + 4y = 16 (\\boxed{quad}, \\bo…

Question

solve using elimination.
-x + 4y = 8
-3x + 4y = 16
(\boxed{quad}, \boxed{quad})
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Explanation:

Step1: Subtract equations

$(-x + 4y) - (-3x + 4y) = 8 - 16$
$2x = -8$

Step2: Solve for x

$x = \frac{-8}{2} = -4$

Step3: Substitute x into first equation

$-(-4) + 4y = 8$
$4 + 4y = 8$

Step4: Solve for y

$4y = 4$
$y = 1$

Answer:

(-4, 1)