Examine this system of linear equations.

y - x = 2,

x + y = 4

Which is a solution of the system of equations?

(1, 3)

(2, 2)

(3, 1)

(4, 2)

y - x = 2,

x + y = 4

4, - 3

(1,3)

Step-by-step explanation:

1. Solve y-x=2 for x. You should get y=x+2.

2. Substitute that for y in the other equation. the equation should now look like this:

x+x+2=4

3. Simplify: you should find that you get 2x=2. Simplify once more. You should get that x=1.

4. Substitute into first original equation. This should look like this: y-1=2

5. Solve: y=3

Answer: (1,3)