Question

Solve the system of equations using substitution 4x-2y=8 y= 1/2x+2

Answer 1

`x=4\\y=4`

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:

`4x-2y=8\\4x-2((1)/(2)x+2)=8`

`4x-(2)/(2)x-4=8\\3x-4=8\\3x=8+4\\x(12)/(3)\\x=4`

Now you must substitute the value of x into the second equation to find y, then:

`y=(1)/(2)x+2\\\\y=(1)/(2)(4)+2\\\\y=2+2\\y=4`

Answer 2

The solution is x=4 and y=4

Explanation:

See the image for solution