SOLUTION: Hello, I would like to know the steps in solving the following type of problem: Solving a system by Substitution: y=3x 2x+3y=22 You are asked to solve the system by usin

Algebra ->  Linear-equations -> SOLUTION: Hello, I would like to know the steps in solving the following type of problem: Solving a system by Substitution: y=3x 2x+3y=22 You are asked to solve the system by usin      Log On


   

Question 360076: Hello,
I would like to know the steps in solving the following type of problem:
Solving a system by Substitution:
y=3x
2x+3y=22
You are asked to solve the system by using the substitution method
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
y=3x
2x%2B3y=22
Use the information in the first equation and plug it into (substitute it into) the second one.
2x%2B3y=22
2x+%2B+3%2A%283x%29+=+22
Now simply and solve for x
2x+%2B9x+=+22
11x+=+22
Divide both sides by 11
x+=+2
Now that you have solved for x, substitute that value for x back into the first equation and solve for y
y+=+3x
y+=+3+%2A+2
y+=+6
Now check you answer using the second equation
2x%2B3y=22
2%2A2+%2B+3%2A6+=+22
4+%2B+18+=+22
22+=+22 which is true so x=2 and y=6 are the answers