SOLUTION: Solve using the elimination method.
2x - y = 6
5x + y = 22
Algebra.Com
Question 170660This question is from textbook Introductory Algebra
: Solve using the elimination method.
2x - y = 6
5x + y = 22
This question is from textbook Introductory Algebra
Found 2 solutions by jim_thompson5910, Mathtut:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system of equations:
Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
Group like terms.
Combine like terms. Notice how the y terms cancel out.
Simplify.
Divide both sides by to isolate .
Reduce.
------------------------------------------------------------------
Now go back to the first equation.
Plug in .
Multiply.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
So our answer is and .
Which form the ordered pair )
.
This means that the system is consistent and independent.
Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer.
Graph of (red) and (green)
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
2x-y=6....eq 1
5x+y=22...eq 2
:
this problem is already set up nicely without having to multiply either equation by anything. Just add eq1 to eq 2 and the y terms will be eliminated.
:
we are left with
the x terms 2x+5x and the constants 6+22
:
2x+5x=6+22
:
7x=28
:
now substitute x's value back into either equation....I will use eq 2
:
5(4)+y=22---->20+y=22--->subtraction 20 frome each side produces
RELATED QUESTIONS
Solve using the elimination method.
2 x - y = 6
5x + y =... (answered by jim_thompson5910,checkley77)
2x – y = 8,
y = 5x + 3
Solve using the elimination method.
I dont get... (answered by neatmath)
solve the system using the linear combination method: 5x+y=6... (answered by funmath)
Solve the system using the substitution method or the elimination-by-addition method.
2x (answered by solver91311)
x+y=22 x-y=8 solve by using the elimination method
(answered by stanbon)
Solve using the substitution method, the elimination method, or the graphing method.
y (answered by checkley77)
Solve by using the substitution method, elimination method or graphing method.
y=... (answered by Alan3354)
Using the elimination method, solve the system.
x-y+z=-6
2x-y+2z=9... (answered by ankor@dixie-net.com)
5x-2y=-16
2x+ y= 8
please solve using elimination... (answered by Electrified_Levi)