SOLUTION: my question is 2x - 3y =5 and 3x - 2y = 20 please help me in to solve this

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Question 985396: my question is 2x - 3y =5 and 3x - 2y = 20 please help me in to solve this
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!

You have the system of two equations with two unknowns:

system%282x+-+3y+=5%2C%0D%0A3x+-+2y+=+20%29.

Multiply the first equation by 2 and the second equation by 3. You will get

system%284x+-+6y+=10%2C%0D%0A9x+-+6y+=+60%29.

Now distract the first equation from the second one. You will get

5x = 60 - 10,

5x = 50,

x = 10.

Next, substitute the found value of x into the first equation . . . . . .

Please complete it yourself.

You may want to look in my lessons on solving systems of linear equations in two unknowns in this site
    - 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  and
    - Solving word problems using linear systems of two equations in two unknowns.