SOLUTION: Given the system of equations: 2y-5x=6 and 3x+2y=2 Solve for x and y. (Enter your answer as an ordered pair.) Thank you.

Algebra ->  Linear-equations -> SOLUTION: Given the system of equations: 2y-5x=6 and 3x+2y=2 Solve for x and y. (Enter your answer as an ordered pair.) Thank you.      Log On


   

Question 985061: Given the system of equations:
2y-5x=6 and 3x+2y=2
Solve for x and y.
(Enter your answer as an ordered pair.)
Thank you.
Found 2 solutions by srinivas.g, macston:
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
Given equations
2y-5x=6 and 3x+2y=2
on re arranging them
-5x+2y =6........eq(1)
3x+2y=2..............eq(2)
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++-5%5Cx+%2B+2%5Cy+=+6%2C%0D%0A++++3%5Cx+%2B+2%5Cy+=+2+%29%0D%0A++

Any system of equations:


has solution

or



(x=-0.5, y=1.75}

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
2y-5x=6
2y=5x+6
.
3x+2y=2 Substitute for 2y from above.
3x+(5x+6)=2
8x+6=2
8x=-4
x=-1/2
.
Plug in value for x in first of the original equations:
2y-5x=6
2y-5(-1/2)=6
2y+5/2=6
2y=12/2-5/2
2y=7/2
y=7/4
.
CHECK (use the second original equation):
3x+2y=2
3(-1/2)+2(7/4)=2
-3/2+7/2=2
4/2=2
2=2