# Algebra II

posted by .

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 -

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

oy + 234x = 54
234x = 54
x = 54/234 = 3/13

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

If you are correct, y = 10/13

## Similar Questions

1. ### algebra2

solve the systems of equation: First : 4x-2y = 2 Second: y = -4x-7 Should i solve by using substitution, elimination or multiply then use elimination?
2. ### algebra

I just need a quick check before I hand in my work if you would...Thanks. 1. I am to use the intercepts to graph the equation x+3y=6 I used the formula y=mx+b using 3 and -6 for x I got these as my ordered pairs to graph (3, 1), (-6, …
3. ### algebra 2

Nonlinear systems Solve the system by elimination. y=x^2+2 -4x-y=10 Solve the system using substitution. y=-3x^2+x-2 y=-5x+3
4. ### algebra URGENT!

Solve the system using elimination. 2x – 2y = –8 x + 2y = –1 And this one: Solve the system using elimination. 3x – y = 28 3x + y = 14 Pleease help me :(
5. ### Algebra

Solve the following systems of equations using the addition (elimination) method. What type of system is it?
6. ### Algebra

Solve the following systems of equations using the addition (elimination) method. -2x+3y=5 2x-y=1
7. ### Algebra

Solve the following systems of equations using the addition (elimination) method. 5x+y=2 3x+y=1
8. ### Algebra

Solve the following systems of equations using the addition (elimination) method. 5x=20+y 16=3y+4x
9. ### Math

x=-y+3 5x-y=-2 Solve using Elimination I already solved the equation using Substitution, Graphing, and a table I just need a little more help on Elimination. I know that in Elimination they have to be in the same form so I put it in …
10. ### Algebra

8. Solve the system using elimination. x + 2y = 1 4x + y = 11 So I added both equations and got 5x + 3y = 12 but am unsure of where to go next with it. I am having the same problem on another question just a bit different than this …

More Similar Questions