SOLUTION: solve the system by the substitution method. 5x+2y=1 4x-y=1 what is the solution set?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve the system by the substitution method. 5x+2y=1 4x-y=1 what is the solution set?      Log On


   

Question 351045: solve the system by the substitution method.
5x+2y=1
4x-y=1
what is the solution set?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve the system by the substitution method.
5x+2y=1
4x-y=1
----
Solve the 2nd equation for "y":
y = 4x-1
------------------
Substitute into the 1st equation and solve for "x":
5x + 2(4x-1) = 1
5x + 8x -2 = 1
13x = 3
x = 3/13
============
Solve for "y":
y = 4(3/13)-1
y = 12/13 - 13/13
y = -1/13
=========================
Cheers,
Stan H.
==================