SOLUTION: This is my equation: 3x - 7y = 2 2x - 3y = 3 I need to use elimination, please help.

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Question 1036667: This is my equation:
3x - 7y = 2
2x - 3y = 3
I need to use elimination, please help.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
That is TWO equations. Multiply the members to make coefficients on either variable equal in both equations.

system%283%283x-7y%29=3%2A2%2C7%282x-3y%29=7%2A3%29

Maybe you know how to use that to start, and then continue and finish.

Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.
This is my equation:
3x - 7y = 2
2x - 3y = 3
I need to use elimination, please help.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

3x - 7y = 2,      (1)
2x - 3y = 3.      (2)

Multiply eq.(1) by 3 (both sides) and multiply eq.(2) by 7. You will get

 9x - 21y =  6,   (3)
14x - 21y = 21.   (4)

Now distract eq.(3) from eq.(4).  The terms with "y" will canceled (eliminated), and you will get a single equation for "x":

14x - 9x = 21 - 6,   or

5x = 15   --->   x = 15%2F5 = 3.

From this point, please complete the solution on your own.

On the Substitution method, Elimination method, Determinants' method for solving the systems of two linear equations in two unknowns see the lessons
    - Solution of the linear system of two equations in two unknowns using determinant
    - Solution of the linear system of two equations in two unknowns by the Substitution method
    - Solution of the linear system of two equations in two unknowns by the Elimination method
    - Geometric interpretation of the linear system of two equations in two unknowns
in this site.