Question

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

Answer 1

(1,3)

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)

Answer 2

4, -3

Explanation: