Find the coordinates and the point of intersection between the lines 8x + 7y = 11 and y = 5x + 2

Substitute y = 5x + 2 into 8x + 7y = 11 to get, 8x + 7(5x + 2) = 11This simplifies down to 8x + 35x + 14 = 11And further simplifies to 43x = -3 giving the solution x = -3/43Substituting the x solution back into y = 5x + 2 gives, y = 5(-3/43) + 2 = -15/43 + 86/43 = 71/43
The two lines intersect at the point (-3/43, 71/43)