Point of Intersection of Line

The equations of two lines are

4x-5y = -15 and y = 4/5x -6

Which of the following describes their point of intersection?
A) (5,-2)
B) (-5,1)
C) (10,-5)
D) (No intersection)

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/algebra/point-of-intersection-of-line-313

Solution Preview

...
4x-5y = -15 and y = 4/5x -6

A) Substitute x=5, y=-2 into them to get

4x-5y =4*5-5*(-2)=30 is not equal to 15. Thus point (5,-2) is not a point of intersection?

B) Substitute x=-5, y=1 into them to get

4x-5y =4*(-5)-5=-25 is not equal to 15 Thus point (-5, 1) is not a point of intersection? ...