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At the point of intersecting lines, the points are equal.
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The equation of the 1st line is Y=3x-7
The equation of the 2nd line is Y=-2x+3
Remember, at the intersecting points they are equal. So then:
3x-7=-2x+3 Now solve for x (get x by itself in the form of x=whatever)
3x-7=-2x+3
+2x +2x (What you do to one side of the equal sign you must do to the other)
____________
5x -7 = 3
+7 = +7
____________
5x = 10 now divide by 5 to remove the 5 from the x in 5x.
___ ___
5 5
x=2
Then you sub x=2 into any of the two equation. Lets use the first one:
Y=3x-7 becomes Y=3(2)-7
Y=6-7
Y=-1
So the intersecting point is (2,-1)
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