SOLUTION: 1/2x - 3/2y = -29/2 1/3x - 3y = 33 Solve the linear system by using elimination.

Algebra ->  Expressions-with-variables -> SOLUTION: 1/2x - 3/2y = -29/2 1/3x - 3y = 33 Solve the linear system by using elimination.      Log On


   

Question 1012034: 1/2x - 3/2y = -29/2
1/3x - 3y = 33
Solve the linear system by using elimination.
Answer by ValorousDawn(53) About Me  (Show Source):
You can put this solution on YOUR website!
There's some rounding issues, but the idea's still there.
Solved by pluggable solver: Linear System solver (using determinant)
Solve:


Any system of equations:


has solution

or



(x=-93, y=-21.3333333333333}

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving -1.5*y to the right, we get:
0.5%2Ax+=+-14.5+-+-1.5%2Ay, or x+=+-14.5%2F0.5+-+-1.5%2Ay%2F0.5. Substitute that
into another equation:
0.333333333333333%2A%28-14.5%2F0.5+-+-1.5%2Ay%2F0.5%29+%2B+-3%5Cy+=+33 and simplify: So, we know that y=-21.3333333333333. Since x+=+-14.5%2F0.5+-+-1.5%2Ay%2F0.5, x=-92.9999999999999.

Answer: system%28+x=-92.9999999999999%2C+y=-21.3333333333333+%29.