Question

solve the system by graphing.
y = 2x + 5
y = \frac{1}{2}x - 1
the solution is (\square, \square).
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Explanation:

Step1: Find intersection by solving equations

Set \(2x + 5=\frac{1}{2}x - 1\). Subtract \(\frac{1}{2}x\) and 5: \(2x-\frac{1}{2}x=-1 - 5\). Simplify: \(\frac{3}{2}x=-6\). Multiply by \(\frac{2}{3}\): \(x=-4\).

Step2: Substitute x to find y

Substitute \(x = - 4\) into \(y = 2x+5\): \(y=2(-4)+5=-8 + 5=-3\).

Answer:

\((-4, -3)\)