Posted by **Melanie** on Tuesday, February 22, 2011 at 7:18pm.

solve each system

1) 3x + y = 6

2x + 3y = 13

2) 2x + 5y - 6 = 0

-2x + y - 2 = 0

3) x + 3y = 6

4x - 5y = 7

- Math -
**MathMate**, Tuesday, February 22, 2011 at 9:55pm
I'll solve the first one, leaving you a chance to practice with the rest.

3x + y = 6 .....(1)

2x + 3y = 13 ....(2)

Multiply (1) by 3 and subtract (2) to eliminate y:

9x + 3y = 18 .....(1a)

2x + 3y = 13 .....(2a)

Subtract:

7x = 5

x=5/7 .....(3)

Substitute (3) in 1

3(5/7) + y = 6

y = 6-15/7

=27/7 ....(4)

Substitute (3) and (4) in (2) to check:

2(5/7) + 3(27/7)

=(10+81)/7

=13 OK.

## Answer This Question

## Related Questions

- Math Homework - Hello! I need help with these math questions, thanks! :) 1.) ...
- Math(Solve the system) - So I guess I have to: Solve the system using any ...
- Algebra - 7x + 5 = y 3.5x + 20 = y Solve the system of equations. What method ...
- Discrete Math - I am really stuck on these problems. I've worked a lot of them ...
- Math - Solve by eliminnation methods 2x-4y=5 2x-4y=6 solve the system by ...
- MATH PLEASE HELP! - Solve each system 3x+2y= -2 9x- y= -6 I know how to solve ...
- College Algebra - Solve the system of equations using matrices. If system has no...
- Algebra, help needed - I need help I don't know how to solve this system Solve ...
- algebra - i need help with these problems (either a solution or how to plug them...
- Algebra - I need help I don't know how to solve this system Solve the following ...

More Related Questions