Question

Please solve both of these with how you solved them.

Answer 1

Answer:

a. (2,5)

b. (14,15.5)

Step-by-step 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)