SOLUTION: solve each system of equations by the substitution method 3y-x=6 4x+12y=0

Algebra.Com
Question 999517: solve each system of equations by the substitution method
3y-x=6
4x+12y=0
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!

-1 x + 3 y = 6 .............1
3 y = 6 + 1 x
/ 3 =
y = 2 + 1/3 x
4 x + 12 y = 0 .....................2
Substitute y in (2)
4 x + 12 ( 2 + 1/3 x ) = 0
4 x + 24 + 4 x = 0
4 x 4 x = -24
8 x = -24
/ 8
x= -3
Plug the value of x in (1)
-1 x + 3 y = 6
-1 * -3 + 3 y = 6
3 + 3 y = 6
3 y = 3
/ 3
y= 1
m.ananth@hotmail.ca

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

solve each system of equations by the substitution method
3y-x=6
4x+12y=0
3y - x = 6______3y - 6 = x -------- eq (i)

4x + 12y = 0 ------- eq (ii)

4(3y - 6) + 12y = 0 ------ Substituting 3y - 6 for x in eq (ii)

12y - 24 + 12y = 0

12y + 12y = 24

24y = 24

y = , or 

3(1) - 6 = x ------ Substituting 1 for y in eq (i) 

3 - 6 = x

 

RELATED QUESTIONS


``solve each system of equations by the substitution method

6x-3y=5... (answered by fractalier)

solve each system of equations by the substitution method
2x-y=-7... (answered by mananth)

Solve each system by the substitution method.

3y-x=0... (answered by funmath)

Solve the system of equations by the substitution method.
4x-y=6... (answered by josgarithmetic)

Solve each of the equations by substitution:

4x-12y=5... (answered by jayanthihemkos@yahoo.com)

solve each system of equations by substitution method 8x+3y=-7
                           (answered by checkley79)

solve the two linear equations. and solve the system equations by the substitution... (answered by Alan3354)

``solve each system of equations by the substitution method

6x+3y=12... (answered by Fombitz)

Solve each system using the specified method.  Substitution
4x-3y=15... (answered by jim_thompson5910)