SOLUTION: 48: Solve this system: y = 2x - 3 x + 2y = 14

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Question 80731: 48: Solve this system:
y = 2x - 3
x + 2y = 14

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Since we have an equation in y form, we can use substitution

Substitute into y of

Plug in 2x-3 into y



Distribute

Multiply

Add 6 to both sides

Combine like terms

Divide both sides by 5

Now plug in x=4 to find y
Plug in x=4

Multiply

Combine like terms
So our solution is:
(4,5)

Check:

works

works

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