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Solve the following equations 4x + 3y =17 3x + 2y = 13

1 Answer

3 votes

Answer:

(5,-1)

Explanation:

4x+3y=17

3x+2y=13

So elimination sounds fun but we will have to do manipulation:

Multiply top equation by 2 and bottom equation by 3. This will cause the second term in both by 6y which means we would be setup for elimination.

8x+6y=34

9x+6y=39

--------------------now subtract the equations

-x+0=-5

So x=5

Now plug it into either question (no matter which-pick and choose)

I will go with the second original 3x+2y=13

So if x=5 we have 15+2y=13

Subtract 15 on both sides: 2y=-2

Now divide both sides by 2: y=-1

Answer (5,-1)

User Idrougge
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