SOLUTION: How do you solve the problem: 3x-2y=2 y=2x+8 ?

Algebra ->  Graphs -> SOLUTION: How do you solve the problem: 3x-2y=2 y=2x+8 ?      Log On


   

Question 240135: How do you solve the problem: 3x-2y=2
y=2x+8 ?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Several ways to do this. The sinplest is to plug the value given for y in the second equation, into the first equation and then solving for the remaining variable
3x-2y+=+2
y+=+2x%2B8 plug this value for y into the first equation
3x-2%282x%2B8%29=2 simplify and collect terms
3x+-4x+-16+=+2
x+=+-18
Now that you have a value for x, plug that in to either original equation and solve for y
y+=+2x%2B8
y+=+2%2A%28-18%29+%2B+8
y+=+-36%2B8
y+=+-28
You can also plot the two equation and see where they intersect
graph%28400%2C600%2C+-50%2C+50%2C+-50%2C50%2C+2x%2B8%2C+1.5x-1%29