SOLUTION: Solve the following system by any method? x= 5 ---y +12 4 4x-5y=12 1) (-11,-6) 2) (-9,5) 3) (10,8) 4) (-10,6) 5) the equations are dependent 6) the systems is

Algebra ->  Linear-equations -> SOLUTION: Solve the following system by any method? x= 5 ---y +12 4 4x-5y=12 1) (-11,-6) 2) (-9,5) 3) (10,8) 4) (-10,6) 5) the equations are dependent 6) the systems is       Log On


   

Question 179435: Solve the following system by any method?
x= 5
---y +12
4
4x-5y=12
1) (-11,-6)
2) (-9,5)
3) (10,8)
4) (-10,6)
5) the equations are dependent
6) the systems is inconsistent
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm going to use the substitution method:


4x-5y=12 Start with the second equation.


4%28%284%2F5%29y%2B12%29-5y=12 Plug in x=%284%2F5%29y%2B12


%2816%2F5%29y%2B48-5y=12 Distribute


16y%2B240-25y=60 Multiply EVERY term by the LCD 5 to clear out the fraction.


-9y%2B240=60 Combine like terms on the left side.


-9y=60-240 Subtract 240 from both sides.


-9y=-180 Combine like terms on the right side.


y=%28-180%29%2F%28-9%29 Divide both sides by -9 to isolate y.


y=20 Reduce.


Note: the value y=20 is part of none of the solutions. So double check the answers or the problem itself.