SOLUTION: solve the system by substitution: x+2y=-6 2x=-4y-16

Algebra.Com
Question 124896: solve the system by substitution:
x+2y=-6
2x=-4y-16

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!



Start with the second equation


Divide both sides by 2


Break up the fraction


Reduce


Now let's solve the system





by substitution



Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.




Combine like terms on the left side


Add 8 to both sides


Combine like terms on the right side



Since this equation is never true for any y value, this means there are no solutions.

RELATED QUESTIONS

Solve the system by using the substitution method. x-2y= 10, 2x-4y=... (answered by oberobic)
Solve the system by substitution. x + 2y = 11 –2x + 4y = –6 Answer: x = (answered by bucky)
Solve the system by substitution. x + 2y = 11 –2x + 4y = –6 (answered by bucky)
Solve the system by substitution. x + 2y = 11 –2x + 4y = –6 (answered by bucky)
``solve each system of equations by the substitution method 2x+4y=6... (answered by ikleyn)
Solve the system by substitution. x – 4y = –9 2x + 2y = 12 Show all work (answered by misscrt)
Solve each system by the substitution method. x – y = 5 2x = 2y + 14 3x + y... (answered by midwood_trail)
Solve the system of equations by substitution x+6y=23... (answered by MathLover1)
Solve the system by substitution. x + 5y = 0 –2x – 4y = 6 (answered by justices98)