SOLUTION: Find the equation of the line that passes through the points of intersection of y = x + 6 with 2x + 3y = 24 and y = 3x with x + 2y = 8.

Question 1186243: Find the equation of the line that passes through the points of intersection of y = x + 6 with 2x + 3y = 24 and y = 3x with x + 2y = 8.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Solve as a system, y = x + 6 with 2x + 3y = 24 to find intersection point.
Solve as a system, y = 3x with x + 2y = 8 to find their intersection point.

Use the two points to find equation of the line containing these two points.

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Omitting the steps here, the intersection point of first pair of equations is (6/5,36/5); and intersection point of the second pair of equation is (8/7,24/7).
Slope for these two points will be found as 66.

You can continue, writing equation as , and then simplify, putting into whatever form you need or want to.
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