Answer:
x = 2
Step-by-step explanation:
For system of equations, you need to equal them to each other. First, you need to isolate y on one side of the equation in [tex]y - 2x = -3[/tex]
[tex]y = -3 + 2x[/tex]
Now, equal the equations to each other:
[tex]-\frac{1}{2}x + 2 = -3 + 2x[/tex]
Add [tex]\frac{1}{2} x[/tex] to both sides of the equation:
[tex]2 = -3 + (2x + \frac{1}{2}x) = -3 + (\frac{4}{2}x + \frac{1}{2}x) = -3 + \frac{5}{2} x[/tex]
Subtract add 3 to both sides of the equation:
[tex]5 = \frac{5}{2}x[/tex]
Divide [tex]\frac{5}{2}[/tex] on both sides of the equation. Remember: when you divide a fraction, you multiply by the reciprocal. See below:
[tex]\frac{2}{5} * 5 = x[/tex]
[tex]\frac{10}{5} = x[/tex]
[tex]x = 2[/tex]
Check your work:
[tex]-\frac{1}{2}(2) + 2 = -3 + 2(2)[/tex]
-1 = -1
