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solve the system by substitution. $y = -6x$ $-2x - 7y = 40$ answer atte…

Question

solve the system by substitution.

$y = -6x$
$-2x - 7y = 40$

answer attempt 1 out of 2
(\boxed{1}, \boxed{}) submit answer

Explanation:

Step1: Substitute $y=-6x$ into 2nd equation

$-2x - 7(-6x) = 40$

Step2: Simplify left side of equation

$-2x + 42x = 40$
$40x = 40$

Step3: Solve for $x$

$x = \frac{40}{40} = 1$

Step4: Find $y$ using $x=1$

$y = -6(1) = -6$

Answer:

$(1, -6)$