Question

Solve the following system algebraically

Answer 1

x=3

Explanation:

Answer 2

Explanation:

I'm going to give you the explanation first.

Let's start by making the equations more manageable.

`y=(x)/(2) \\2y=x\\`

There you are for the first.

Now insert that value into the second:

`2x^(2) -y^2=7\\2(2y)^2-y^2=7\\4y^2-y^2=7\\3y^2=7\\y^2=(7)/(3) \\y=+or-\sqrt{(7)/(3) }`

We now have the value for y, and can solve for x.

Can you solve for x on your own?

Feel free to comment with questions. Have a great day!