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Find the intersection of the lines $9x-4y=30$ and $7x+y=11.$ Express your answer as an ordered pair $(x,y).$

 Jun 20, 2020
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9x-4y=30, 7x+y=11. 

We convert these to y-intercept form first.

 

9x-4y=30

4y=9x-30

y=9/4x-30/4

 

7x+y=11

y=-7x+11

 

Then set them equal to each other.

 

9/4x-30/4=-7x+11

37/4x=74/4

x=2

 

Then y=-3.

 

Therefore the point of intersection is (2, -3).

 Jun 20, 2020

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