Answer: The system of equations is
40x + 55y = 920
40x + 65y = 1000
x is the cost of the adult ticket; y is the cost of the child ticket
Explanation:
If you have to solve this, elimination is a good method.
Subtract the top equation from the second equation.
40x + 65y = 1000
-40x + 55y = 920 x cancels Solve for y
0 + 10y = 80 Divide both sides by 10
y = 8 . Substitute 8 for y in either equation and solve for x
40x + 65(8) = 1000
40x + 520 = 1000 Subtract 520 from both sides
40x = 1000 - 520
40x = 480 Divide both sides by 40
x = 12