18x+6y=144

6x+10y=144

1. Copy Equations:

18x + 6y = 144

6x + 10y = 144

2. Multiply one of the equations in a way that gets either the x or the y to cancel each other out when added together:

18x + 6y = 144 - -> 18x + 6y = 144

-3 (6x + 10y = 144) - -> - 18x - 30y = - 432

3. Add equations together:

18x + 6y = 144

-18x - 30y = - 432 - -> - 24y = - 288

4. Solve for y by dividing both sides of the equation by - 24:

-24y:-24 = - 288:-24 - -> y = 12

5. Plug the y back into one of the original equations:

6x + 10 (12) = 144

6. Solve for x:

6x + 10 (12) = 144 - -> 6x + 120 = 144

6x + 120 = 144

-120 - 120 - -> 6x = 24

6x:6 = 24:6 - -> x = 4

7. Collect answers:

x = 4

y = 12

8. (Optional) plug answers back into one of the original equations the check answer.