SOLUTION: Solve the system of equations y = 2x - 10 and x - y = 7

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the system of equations y = 2x - 10 and x - y = 7      Log On


   

Question 60631This question is from textbook alegbra concepts and applications
: Solve the system of equations
y = 2x - 10 and x - y = 7 This question is from textbook alegbra concepts and applications

Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
y = 2x - 10 --------------(1)
x - y = 7 --------------(2)
==> x = y + 7 -----(3)
Plugging in this value in (1) we have..
y = 2(y+7) - 10
==> y = 2y + 14 - 10
==> y - 2y = 2y + 14 - 10 - 2y [Add -2y to both thew sides]
==> -y = 4
==> -y/-1 = 4/-1
==> y = -4
Plugging in this value in (3) we get..
x = -4 + 7
==> x = 3
Thus x = 3 and y = -4
Good Luck!!!