Question

What is the solution to the system of equations?

x+y = 2
x -y =4

(__ , ____)

Answer 1

Steps:

So with this system of equations, I will be using the elimination method. With the two equations, add them together and you will get:

`2x=6`

Since the y-variable has been eliminated, we can solve for x. With this, divide both sides by 2:

`x=3`

Now that we know the value of x, substitute it into either equation to solve for y:

`3+y=2\\y=-1\\\\3-y=4\\-y=1\\y=-1`

Answer:

In (x,y) form, your answer is (3,-1).

Answer 2

x=3, y=-1

Explanation:

x+y = 2

x -y =4

I will use elimination to eliminate the variable y. Add the two equations together.

x+y = 2

x -y =4

-------------

2x = 6

Divide each side by 2

2x/2 = 6/2

x = 3

But we still don't know y

x+y =2

Substitute x=3 into the equation

3+y =2

Subtract 3 from each side

3-3 +y =2-3

y =-1