Question

How many solutions does the system have? Y=4x-7 y=x-3

Answer 1

y=4x-7......(1)

y=x-3.........(2)

(2)×4

4y=4x-12......(3)

(1)-(3)

y=-5/3

x=4/3

Answer 2

one solution

Explanation:

Given the 2 equations

y = 4x - 7 → (1)

y = x - 3 → (2)

Substitute y = 4x - 7 into (2)

4x - 7 = x - 3 ( subtract x from both sides )

3x - 7 = - 3 ( add 7 to both sides )

3x = 4 ( divide both sides by 3 )

x =
`(4)/(3)`

Substitute this value into (2) for corresponding value of y

y =
`(4)/(3)` - 3 =
`(4)/(3)` -
`(9)/(3)` = -
`(5)/(3)`

Solution is (
`(4)/(3)`, -
`(5)/(3)`)