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

Substitute 2x-3 into y of x+%2B+2y+=+14

x+%2B+2%2Ahighlight%28%282x-3%29%29+=+14 Plug in 2x-3 into y

x+%2B+2%282x-3%29+=+14

x+%2B+2%2A2x-2%2A3+=+14 Distribute

x+%2B+4x-6+=+14 Multiply

x+%2B+4x=+20 Add 6 to both sides

5x=+20 Combine like terms

x=4 Divide both sides by 5

Now plug in x=4 to find y
y=2%284%29-3 Plug in x=4

y=8-3 Multiply

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

Check:
5+=+2%284%29+-+3
5=5 works
4+%2B+2%2A5+=+14
14=14 works