You have the following system of equations:
y = -1/2 x + 4 1/2
2 = y - 2x
In order to find the value of x of the previous system, proceed as follow:
- Solve the second equation for y:
y = 2x + 2
- Replace the previous expression for y into the first equation and solve for x:
[tex]\begin{gathered} 2x+2=-\frac{1}{2}x+4\frac{1}{2} \\ 2x+2=-\frac{1}{2}x+\frac{9}{2} \\ 2x+\frac{1}{2}x=\frac{9}{2}-2 \\ \frac{5}{2}x=\frac{5}{2} \\ x=1 \end{gathered}[/tex]Hence, the value of x is x = 1
