SOLUTION: Would someone be able to help me with this, I appreciate it. Solve the following system by graphing. x + y = 6 x - y = 3

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Would someone be able to help me with this, I appreciate it. Solve the following system by graphing. x + y = 6 x - y = 3       Log On


   

Question 143504: Would someone be able to help me with this, I appreciate it.
Solve the following system by graphing.
x + y = 6
x - y = 3
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
plot y=6-x and y=x-3 and see the place where they intersect.
graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+6-x%2C+x-3+%29
Looks like y=3/2 and x=9/2.
Check via substitution:
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+6%2C%0D%0A++++1%5Cx+%2B+-1%5Cy+=+3+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
1%2Ax+=+6+-+1%2Ay, or x+=+6%2F1+-+1%2Ay%2F1. Substitute that
into another equation:
1%2A%286%2F1+-+1%2Ay%2F1%29+%2B+-1%5Cy+=+3 and simplify: So, we know that y=1.5. Since x+=+6%2F1+-+1%2Ay%2F1, x=4.5.

Answer: system%28+x=4.5%2C+y=1.5+%29.