You are given what y is equal to in the first equation....use this value in the second equation.
2x + 3 (x-8) = 1 solve for 'x'
2x + 3x - 24 = 1
5x = 25
x = 5 now use this value of x in EITHER of the equations to find y
y = x -8
y = 5-8
y=-3
y=x-8
2x=3y=1
2x+3(x-8)=1
2x+3x-24=1
5x-24=1
5x=25
\(\boxed{x=5}\), then plug it in to one of the equations
y=x-8
y=5-8
\(\boxed{y=-3}\)
No this problem has ONE solution, the ordered pair (5,-3) is the ONLY solution. So ONE solution
These are equations for lines......where they cross (intersect) is the solution to the system......straight lines only intersect at one point....one solution.