SOLUTION: please help me solve this promblem use the substitution method to solve the linear system here is the promblem x-5y=-10 y=-2x-9 please help

Algebra.Com
Question 120687: please help me solve this promblem
use the substitution method to solve the linear system
here is the promblem
x-5y=-10
y=-2x-9
please help
Found 2 solutions by jim_thompson5910, B-Rod33:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given system





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 45 from both sides


Combine like terms on the right side


Divide both sides by 11 to isolate x



Divide




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



Substitute for each


Simplify


So our answer is and which also looks like



Notice if we graph the two equations, we can see that their intersection is at . So this verifies our answer.


Graph of (red) and (green)

Answer by B-Rod33(7)   (Show Source): You can put this solution on YOUR website!
x-5y=-10
y=-2x-9
x-5(-2x-9)=-10
x+10x+45=-10
11x=-55
x=-5
y=-2(-5)-9
y=10-9
y=1
x=-5 y=1
RELATED QUESTIONS

please help me sove this problem use the substitution method to solve the linear system (answered by jim_thompson5910)
please help me solve this problem use the substitution method to solve the linear (answered by jim_thompson5910)
how do yew do this promblem it is the linear system please help me here is the... (answered by rapaljer)
How do you solve for y and x ? Like my promblem says solve for y right? So they gave me... (answered by josmiceli)
can you please help me solve and check this promblem: (((The sum of a number and its... (answered by Fombitz)
use the method of substitution to solve the system of linear equations. 2x-y=4 9x-4y=19 (answered by jim_thompson5910)
Can you help me solve this promblem? 3x+2 _______ =7 2 The line... (answered by jim_thompson5910)
plaease help me use the substitution method to solve the linear system. y = x-4 (answered by ilana)
Please show me how to use the substitution method to solve this system of equations.... (answered by EMStelley,MathTherapy)