Question

name
date
2.
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$$\begin{cases} y = -7x + 13 \\\\ y = -1 \\end{cases}$$

steps: & check:
-1 = -7x + 13
7x = -1 - 13

Explanation:

Step1: Substitute $y=-1$ into first equation

$-1 = -7x + 13$

Step2: Rearrange to isolate $x$-term

$-7x = -1 - 13$

Step3: Calculate right-hand side

$-7x = -14$

Step4: Solve for $x$

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

Step5: Verify solution in both equations

For $y=-7x+13$: $-7(2)+13=-14+13=-1$, which matches $y=-1$.

Answer:

$x=2$, $y=-1$ (the solution is $(2, -1)$)