Question

Solve the following system of equations graphically. y - 4 = 0 2x - y - 2 = 0 What is the solution set?

Answer 1

{
`(x,y)|(x=3,y=4)`}

Explanation:

The given system of equations is;

`y-4=0...(1)`

and

`2x-y-2=0...(2)`

We rewrite the equations in the standard form to get:

`y=4...(3)`

`2x-y=2...(4)`

We now substitute equation (3) into equation (4) to get:

`2x-4=2`

Group similar terms:

`2x=2+4`

`2x=6`

Divide both sides by 2

`(2x)/(2)=(6)/(2)`

This implies that:

`x=3`

Therefore the solution set is:

{
`(x,y)|(x=3,y=4)`}