SOLUTION: I am having trouble finding the intersection of Y=3/2X+4 and Y=-6+2x Thanks Julian

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Question 73146: I am having trouble finding the intersection of Y=3/2X+4 and Y=-6+2x
Thanks Julian

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Set the two equations equal to each other. Since they both equal y, they both equal each other. For instance if we have y=x and y=5, then x=5 since we can substitute 5 into y.
Substitute into
Now we have everything in terms of x. Solve for x.
Add 6 to both sides
Subtract 3/2x from both sides
Multiply both sides by 2

Substitute this back into



Check:
Use this first


Works
Next use this equation to check


Works


So the intersection is (20,34)

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