The line AB has equation 3x+5y=11 The line AB intersects the line with equation 2x+3y=8 at the point C. Find the coordinates of C.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The line AB which has an equation 3x+5y=11 the line with equation 2x+3y=8 at the point C. The coordinates of C have to be determined. This done by solving the system of equation:

3x + 5y = 11 ...(1)

2x + 3y = 8 ...(2)

3*(2) - 2*(3)

=> 6x + 9y - 6x - 10y = 24 - 22

=> -y = 2

=> y = -2

2x = 8 + 6

=> x = 7

The coordinates of the point C is (7, -2)

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