SOLUTION: Solve for x and y: 3x+4y=9, 2x+3y=8

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Question 1025796: Solve for x and y: 3x+4y=9, 2x+3y=8
Found 2 solutions by ikleyn, FrankM:
Answer by ikleyn(52824)   (Show Source): You can put this solution on YOUR website!
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Solve for x and y: 3x+4y=9, 2x+3y=8
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

3x + 4y = 9,    (1)
2x + 3y = 8.    (2)

Multiply (1) by 2 (boht sides). Multiply (2) by 3 (both sides). You will get

6x + 8y = 18,   (1')
6x + 9y = 24.   (2')

Now distract (1') from (2'). You will get a single equation for the unknown y:

y = 24 - 18,
y = 6.

So, you got the solution for y.

Next step find x from either (1) or (2).


Answer by FrankM(1040)   (Show Source): You can put this solution on YOUR website!
3x+4y=9
2x+3y=8
multiply 1st eq by 2, the 2nd by 3
6x+8y=18
6x+9y=24
subtract 1st from 2nd
y=6
2x+3*6=8
2x+18=8
2x=-10
x=-5
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