Answer:
a. (2,5)
b. (14,15.5)
Explanation:
a.
y=4x-3
y=-2x+9
Set both equations equal to each other to solve for x.
4x-3=-2x+9
6x=12
x=2
Plug in x to solve for y.
y=4x-3
y=4(2)-3
y=8-3
y=5
(2,5)
b.
y=(5/4x)-2
y=(-1/4x)+19
Set both equations equal to each other to solve for x.
(5/4x)-2=(-1/4x)+19
4((5/4x)-2=(-1/4x)+19)
5x-8=-x+76
6x=84
x=14
Plug in x to solve for y.
y=(5/4x)-2
y=(5/4(14))-2
y=17.5-2
y=15.5
(14,15.5)