Posted by **Lindsey** on Tuesday, February 22, 2011 at 6:03pm.

We are learning how to solve systems using elimination.

2y - 1 = 3x - y / 5

3x - 4 / 8 = y/4

How would I begin to solve this? I'm mostly unsure of how to simplify the fractions. Thanks so much :)

- Algebra II -
**Helper**, Tuesday, February 22, 2011 at 6:35pm
2y - 1 = 3x - y/5

3x - 4/8 = y/4

First, simplify both equations

2y - 1 = 3x - y/5

Multiply both sides by 5

10y - 5 = 15x - y

11y - 15x = 5

3x - 4/8 = y/4

Multiply both sides by 8

24x - 4 = 2y

-2y + 24x = 4

Multiply by 2 (11y - 15x = 5)

Multiply by 11 (-2y + 24x = 4)

22y - 30x = 10

-22y + 264x = 44

Add equations

oy + 234x = 54

234x = 54

x = 54/234 = 3/13

Substitute x = 3/13 in either equation to find y.

Check your answer.

If you are correct, y = 10/13

## Answer this Question

## Related Questions

- algebra - I just need a quick check before I hand in my work if you would......
- algebra 2 - Nonlinear systems Solve the system by elimination. y=x^2+2 -4x-y=10 ...
- Math - x=-y+3 5x-y=-2 Solve using Elimination I already solved the equation ...
- algebra URGENT! - Solve the system using elimination. 2x – 2y = –8 x + 2y = –1 ...
- algebra2 - solve the systems of equation: First : 4x-2y = 2 Second: y = -4x-7 ...
- College Algebra - Please help! x-2y+z=7 2x+y-z=0 3x+2y-2z=-2 a. Solve the above ...
- Alegbra - Solve the following systems of equations using the addition (...
- Alegbra - Solve the following systems of equations using the addition (...
- Alegbra - Solve the following systems of equations using the addition (...
- algebra 1 - 3a+b=52a+5=10use elimination to solve each systems of equations.

More Related Questions