Question

What is the solution to the equations represented by these two lines?

A. (4, 2)

B. (2, 3)

C. (2, 0)

D. (0, 4)

Answer 1

The answer would be C. (2, 0)

Answer 2

Option B is correct

(2, 3) is the solution

Explanation:

Given the equation of lines:

`y = (3)/(2)x` .....[1]

`y = -(1)/(2)x+4` .....[2]

Equates these two lines we have;

`(3)/(2)x = -(1)/(2)x+4`

Add
`(1)/(2)x` to both sides we have;

`(4)/(2)x = 4`

⇒
`2x= 4`

Divide both sides by 2 we have;

x = 2

Substitute this value in [1] we have;

`y = (3)/(2) * 2 = 3`

therefore, the solution to the equations represented by these two lines is, (2, 3)