Question

Solve the system of equations algebraically. Verify your

answer using the graph.
y = 4x - 5
y=-3
What is the solution to the system of equations?
(1, -3)
in

Answer 1

Since y= -3, just put that in the equation.

-3 = 4x - 5

+5 +5

2 = 4x

/4 /4

x=1/2

Answer 2

The solution is the point (0.5,-3)

Explanation:

we have

`y=4x-5` ----> equation A

`y=-3` ----> equation B

Solve the system by substitution

Substitute equation B in equation A

`-3=4x-5`

Solve for x

Adds 5 both sides

`-3+5=4x`

`2=4x`

Divide by 4 both sides

`x=0.5`

therefore

The solution is the point (0.5,-3)

Verify your answer using the graph

using a graphing tool

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (0.5,-3)

therefore

The solution is the point (0.5,-3)

see the attached figure