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graph the system of equations on your graph paper to answer the question.
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$$\begin{cases} y = x - 4 \\\\ y = -x + 6 \\end{cases}$$

what is the solution for this system of equations?
enter your answer in the boxes.
(\boxed{ },\boxed{ })

Explanation:

Step1: Set equations equal

Since $y = x - 4$ and $y = -x + 6$, set them equal to each other:
$x - 4 = -x + 6$

Step2: Solve for x

Isolate x terms and constants:
$x + x = 6 + 4$
$2x = 10$
$x = \frac{10}{2} = 5$

Step3: Solve for y

Substitute $x=5$ into $y = x - 4$:
$y = 5 - 4 = 1$

Answer:

$(5, 1)$