Answer:
(x, y)=(6, -4)
Explanation:
-2x+8=y
3x-y=22
Substitute the given value of y into the equation 3x-y=22
3x-(-2x=8)=22
Solve the equation for x
x=6
Substitute the given value of x into the equation 3x-y=22
3x6-y=22
Solve the equation for y
y=-4
The possible solution of the system is the ordered pair (x, y)
(x, y)=(6, -4)
Check if the given ordered pair is the solution of the system of equations
-2x6+8=-4
3x6-(-4)=22
Simplify the equalities
-4=-4
22=22
Since all of the equalities are true, the ordered pair is the solution of the system
(x, y)=(6, -4)