SOLUTION: How can i solve this system of equation by substitution of -3x-3y=3,y=-5x-7?

Algebra.Com
Question 325285: How can i solve this system of equation by substitution of -3x-3y=3,y=-5x-7?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the first equation.


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.


Distribute


Combine like terms on the left side


Subtract 21 from both sides


Combine like terms on the right side


Divide both sides by 12 to isolate x



Reduce



Now that we know that , we can plug this into to find


Substitute for each


Multiply -5 and to get


Subtract


So the solutions are and which form the ordered pair

RELATED QUESTIONS

Could you please help me. How can I solve this system of equation using the substitution (answered by jim_thompson5910)
Please help me solve this problem of System of equation by substitution. 3x+2y=11... (answered by checkley77)
solve each system of equations by the substitution method -3x+y=7... (answered by waynest)
help me pls to solve this system of equation by substitution?... (answered by jim_thompson5910)
how can I solve this solve each system of equations by substitution method -3x+7y=14... (answered by lenny460)
how can i solve this equation by substitution: x+2y=7... (answered by mukhopadhyay)
For this question you have to solve each system by substitution 5x+3y=-7... (answered by TimothyLamb)
What is the answer if you solve each system of equation by substitution? 4y+3x=-3... (answered by richwmiller,stanbon)
I need to solve the system of equations by the substitution method y=3x+1 3y-5x=11 (answered by psbhowmick)