Question

what is the solution to the system of equations?
x + y = 5
x - 2y = 2
( ? , ? )

Answer 1

Okay! I can help! :)

Answer 2

Now lets work with the 1st equation to start off. First we will subtract \(y\) from both sides.

When you do that you should get \(x = 5 - y\)

Answer 3

So now, we know what we can substitute \(x\) for in the second equation. So we will plug in \(5 - y\) in for \(x\) in the second equation.

Answer 4

When we do this the equation should look like this: \((5 - y) - 2y = 2\)

Answer 5

Are you following so far? :)

@DietSodaa

Answer 6

yes :)

Answer 7

Awesome! Now lets solve that equation. So we want to isolate\(y\) on one side.

So let's subtract 5 from both sides. When you do this our equation should look like: \(-y - 2y = -3\)

Answer 8

So now just combine like terms and finally divide. When do you that you should get \( y= \frac{ 8 }{ 7 }\)

Answer 9

Okay now we know y! :)

So we can plug that in for \(y\) in the first equation! :)

When you do this the equation should look like: \(x + \frac {8 }{7} = 5\)

Answer 10

Now subtract \(\frac{8}{7}\) from both sides and then just combine like terms.

When do you this you should get \(x = \frac{6}{7}\)

Answer 11

So our final answer is:

\((\frac{6}{7}. \frac{8}{7})\)

Answer 12

Hope this helped! Have a great day! :)

If you see that I am online and need help with a question, just tag me in your question!

@DietSodaa