\left\{ \begin{array} { l } { y = \frac { 1 } { 2 } x + 4 } \\ { x = - \frac { 3 } { 2 } } \end{array} \right.
Solve for y, x
x = -\frac{3}{2} = -1\frac{1}{2} = -1.5
y = \frac{13}{4} = 3\frac{1}{4} = 3.25
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y=\frac{1}{2}\left(-\frac{3}{2}\right)+4
Consider the first equation. Insert the known values of variables into the equation.
y=-\frac{3}{4}+4
Multiply \frac{1}{2} and -\frac{3}{2} to get -\frac{3}{4}.
y=\frac{13}{4}
Add -\frac{3}{4} and 4 to get \frac{13}{4}.
y=\frac{13}{4} x=-\frac{3}{2}
The system is now solved.
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