Question 27591
Hi, I'm here to help.

For this problem lets we need to use substition.  So we need to solve for x or y in one of the above equations and then substitue that answer for x or y in the other equation.

Start by solving for x in this equation.

x + 3y = 13

Subract 3y from both sides of the equation.

x = 13 - 3y

Now that we have an answer for x we can substitute it as x for the other equation.

3(13 - 3y) + 5y = 19

First we will distribute the 3 to both 13 and -3y.

39 - 9y + 5y = 19

Combine like terms.

39 - 4y = 19

Subtract 39 from both sides of the equation to isolate the y.

-4y = -20

Isolate the y further by dividing both sides of the equation by -4.

y = 5

Now we can substitute y in the first equation to find x.

x + 3(5) = 13

x + 15 = 13

Isolate the x by subtracting 15 from both sides of the equation.

x = -2

So we have that x = -2 and y = 5 as our answers.

Now check your answers.

-2 + 3(5) = 13

-2 + 15 = 13

13 = 13

3(-2) + 5(5) = 19

-6  + 25 = 19

19 = 19