SOLUTION: I need help with this question. Solve the equations using the substitution method. 5x+6y=14, -3y+x=7

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: I need help with this question. Solve the equations using the substitution method. 5x+6y=14, -3y+x=7      Log On


   

Question 207663This question is from textbook
: I need help with this question.
Solve the equations using the substitution method.
5x+6y=14, -3y+x=7 This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-3y%2Bx=7 Start with the first equation.


x=3y%2B7 Add 3y to both sides.


5x%2B6y=14 Move onto the second equation


5%283y%2B7%29%2B6y=14 Plug in x=3y%2B7


15y%2B35%2B6y=14 Distribute.


21y%2B35=14 Combine like terms on the left side.


21y=14-35 Subtract 35 from both sides.


21y=-21 Combine like terms on the right side.


y=%28-21%29%2F%2821%29 Divide both sides by 21 to isolate y.


y=-1 Reduce.


x=3y%2B7 Go back to the first isolated equation.


x=3%28-1%29%2B7 Plug in y=-1


x=-3%2B7 Multiply.


x=4 Combine like terms.


So the solutions are x=4 and y=-1 which form the ordered pair (4,-1)


This means that the system is consistent and independent.