Answer:
x = 5
y = 8
Step by step solution:
The statements become the following equations.
2x + y = 18
4x - y = 12
2x + y = 18
Subtract 2x from both sides
y = -2x + 18
Substitute into the 2nd equation
4x - (-2x + 18) = 12
4x +2x - 18 = 12
Combine terms
6x -18 = 12
Add 18 to both sides
6x = 30
Divide both sides by 6
x = 5
Looking back, we recall:
2x + y = 18
4x - y = 12
.
2(5) + y = 18
10 + y = 18
Subtract 10 from both sides
y = 8
4(5)-8 = 12
True
So the two numbers are:
x = 5
y = 8
