SOLUTION: i need help soving each system of linear equations bysubstitution -4x+y=6 -5x-y=21

Algebra.Com
Question 951997: i need help soving each system of linear equations bysubstitution
-4x+y=6
-5x-y=21

Found 3 solutions by MathLover1, stanbon, macston:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=-6. Since , x=-3.

Answer: .

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
help soving each system of linear equations bysubstitution
-4x+y=6
-5x-y=21
--------
Modify::
y = 4x+6
y = -5x-21
-------
Substitute to get:
4x+6 = -5x-21
9x = -27
x = -3
-----
Solve for "y"::
y = 4(-3)+6
y = -6
--------------
Cheers,
Stan H.
---------------

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
Solve second equation for x
-5x=y+21
x=(y+21)/-5 Substitute for x in first equation.
-4((y+21)/-5)+y=6
.8y+16.8+y=6 Subtract 16.8 from each side.
1.8y=-10.8 Divide each side by 1.8.
y=-6 ANSWER 1: y=-6 Substitute for y in first equation.
-4x+y=6
-4x-6=6
-4x=12
x=-3 ANSWER 2: x=-3
CHECK:
-5x-y=21
-5(-3)-(-6)=21
15-(-6)=21
21=21

RELATED QUESTIONS

Need some help soving this by graphing. (Systems of linear equations) 3x+y=5... (answered by mukhopadhyay)
I need help solving the linear system 5x+y=12... (answered by Alan3354)
Solve the system of linear equations by graphing. 4x+y=0 and... (answered by jim_thompson5910)
I need help on solving a system of linear equations 5x - 4y = 7 2y +6x =... (answered by richwmiller)
I need help immediately :( I don't understand these equations , I was absent. I'm... (answered by jim_thompson5910)
i need help soving a substitution problom 2x-3y=-14... (answered by Alan3354)
i need help with Systems of Equations Linear Equations 2x-y=6... (answered by Alan3354)
I need help with fractions and solving linear equations. The problem is Y+3/5x+2 (answered by stanbon)
I need help solving this system of equations by the substitution method: y=2x-5... (answered by askmemath)