SOLUTION: Could someone show me how to solve this equation using the subsitution method? {{{5x+2y=-2}}} {{{x=26-7y}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Could someone show me how to solve this equation using the subsitution method? {{{5x+2y=-2}}} {{{x=26-7y}}}      Log On


   

Question 133041: Could someone show me how to solve this equation using the subsitution method?
5x%2B2y=-2
x=26-7y
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5x+2y=-2
x=26-7y
-------------
Substitute the value of x in the 2nd equation into the 1st equation:
5(26-7y)+2y = -2
130-35y+2y = -2
-33y = -132
y = 132/33
------------------
Substitute that into x = 26-7y to solve for "x":
x = 26-7(132/33)
x = 858/33 - 924/33
x = -66/33 = -2
===================
Solution: (-2,(132/33))
Cheers,
Stan H.