Question

The graph represents this system of equations.

y=2x-4
y=1-3x
What is the solution to the system of equations? (–4, 1) (–2, 1) (1, –4) (1, –2)

Answer 1

y=2x-4
y=1-3x
1-3x=2x-4
5x=5
x=1
y=2x-4
y=-2
(1, -2)

Answer 2

(1, -2)

Explanation:

The graph represents this system of equations.

y=2x-4

y=1-3x

To solve the system of equations we replace y in second equation by
`2x-4`

`2x-4=1-3x`

add 3x on both sides

`5x -4= 1`

add 4 on both sides

`5x=5`, divide both sides by 5

x=1

Now we find out y

`y=2x-4`

`y=2(1)-4=-2`

Solution is (1,-2), the graph is attached below