Question

18x+6y=144 6x+10y=144

Answer 1

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.