Answer:
x=1, y=6
(1,6)
Step-by-step explanation:
First we must isolate one of the variables (x or y) in one of the equations (First or second). Here I'll isolate y in equation 2 since it's the easiest to solve.
[tex]-2x+y=4\\y=4+2x[/tex]
Now that we have successfully isolated, we will next substitute the chosen variable (y) in the opposite equation (Eq 1) with the equation we have recently formed:
[tex]2x+3y=20\\2x+3(4+2x)=20\\2x+12+6x=20\\8x+12=20\\8x=8\\x=1[/tex]
Next substitute x in the opposite equation: (basically the equation we previously used to create a new equation which is Equation 2)
[tex]-2x+y=4\\-2(1)+y=4\\-2+y=4\\y=6[/tex]
