SOLUTION: Hi, my name is Will and I am having a hard time solving systems of linear equations particularly this problem: 3x+2y=2 -2x+y=8

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Question 641351: Hi, my name is Will and I am having a hard time solving systems of linear equations particularly this problem:
3x+2y=2
-2x+y=8
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

you have a system to solve:
......1
.......2
______________________________

......1...first solve this one for
...both sides divide by

..........now plug in equation 2 and solve for
_________________
.......2
both sides multiply by






....now, plug it in and solve for
________________

..you will have.



check: plug in and
......1




.......2




Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Hi, my name is Will and I am having a hard time solving systems of linear equations particularly this problem:
3x+2y=2
-2x+y=8



If you choose to solve it by substitution, then solve for y in eq (ii), and then substitute that value in eq (i). This will give you the value of x. Substitute the x-value in any of the 2 equations to obtain your y-value.

If you choose to use elimination, then just multiply eq (ii) by - 2, and add this new equation to eq (i). This will give you the value of x. Substitute the x-value in any of the 2 equations to obtain your y-value.

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