QUESTION IMAGE
Question
3.
\
$$\begin{cases}
\\ \\ \\ y = 2x - 7
\\\\
\\ \\ \\ 4 + y = 12
\\end{cases}$$
| step: | step 2: | check: |
|---|
Step1: Solve for $y$
$4 + y = 12$
$y = 12 - 4$
$y = 8$
Step2: Substitute $y$ to find $x$
$y = 2x - 7$
$8 = 2x - 7$
$2x = 8 + 7$
$2x = 15$
$x = \frac{15}{2} = 7.5$
Step3: Verify solutions
Substitute $x=7.5$ and $y=8$ into both equations:
- $y = 2x - 7$: $8 = 2(7.5) - 7$ → $8 = 15 - 7$ → $8=8$ (True)
- $4 + y = 12$: $4 + 8 = 12$ → $12=12$ (True)
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$x = \frac{15}{2}$ (or $7.5$), $y = 8$