Question

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

Answer 1

Answer:

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

Step-by-step 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

$\frac{2x}{2}=\frac{6}{2}$

This implies that:

$x=3$

Therefore the solution set is:

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