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\\begin{cases} y = -3x + 9 \\\\ y = -x - 5 \\end{cases} what is the sol…

Question

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$$\begin{cases} y = -3x + 9 \\\\ y = -x - 5 \\end{cases}$$

what is the solution for the system of equations?

enter your answer by filling in the boxes.

(\boxed{ }, \boxed{ })

Explanation:

Step1: Set equations equal to each other

$-3x + 9 = -x - 5$

Step2: Isolate x terms

$-3x + x = -5 - 9$
$-2x = -14$

Step3: Solve for x

$x = \frac{-14}{-2} = 7$

Step4: Substitute x into second equation

$y = -(7) - 5$
$y = -12$

Answer:

$(7, -12)$