Question

the graph represents this system of equations.\

$$\begin{cases}y = 4\\\\y = 3 - \\frac{1}{2}x\\end{cases}$$

\
what is the solution to the system of equations?\
\bigcirc\\ (-2, 4)\
\bigcirc\\ (3, 4)\
\bigcirc\\ (4, -2)\
\bigcirc\\ (4, 3)

Explanation:

Step1: Substitute $y=4$ into linear equation

Set $4 = 3 - \frac{1}{2}x$

Step2: Isolate the $x$-term

Subtract 3 from both sides: $4 - 3 = -\frac{1}{2}x$
$1 = -\frac{1}{2}x$

Step3: Solve for $x$

Multiply both sides by $-2$: $x = 1 \times (-2) = -2$

Answer:

(-2, 4)