Answer:
[tex]x=4\\y=4[/tex]
Step-by-step explanation:
To solve this system of equations using substitution, you must substitute the second equation into the first equation and solve for x, as you can see below:
[tex]4x-2y=8\\4x-2(\frac{1}{2}x+2)=8[/tex]
[tex]4x-\frac{2}{2}x-4=8\\3x-4=8\\3x=8+4\\x\frac{12}{3}\\x=4[/tex]
Now you must substitute the value of x into the second equation to find y, then:
[tex]y=\frac{1}{2}x+2\\\\y=\frac{1}{2}(4)+2\\\\y=2+2\\y=4[/tex]
