SOLUTION: Solve the system by substitution. 3x + 3y = 6 y = �4x � 10

Question 61390: Solve the system by substitution. 3x + 3y = 6
y = �4x � 10
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Solve the system by substitution.
E1: 3x+3y=6
E2: y=�4x�10
:
Substitute -4x-10 in for y in E1 and solve for x.
3x+3(-4x-10)=6
3x-12x-30=6
-9x-30=6
-9x-30+30=30+6
-9x=36

x=-4
Substitute -4 in for x in E2 and solve for y.
y=-4(-4)-10
y=16-10
y=6
The solution (x,y)=(-4,6)
:
Check the solution in both equations.
3(-4)+3(6)=6
-12+18=6
6=6 The solution checks in E1.
:
6=-4(-4)-10
6=16-10
6=6 The solution checks in E2.
We're right!!!
Happy Calculating!!!
RELATED QUESTIONS
Solve each system by substitution: 5x+y=10 3x-3y=6 (answered by checkley77)

Solve the system by substitution 4x+3y=30... (answered by rapaljer)

Solve the system of equations by using substitution: { y=4-x }... (answered by solver91311)

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

solve the system by substitution 3x-y=50 x= -3y (answered by robertb,mananth)

Solve the system using substitution. y = 1/3x + 10 x = 3y +... (answered by Alan3354)

Solve each system by the substitution method. 3x+y=2... (answered by checkley71)

Solve the system by addition or substitution. -9x - 3y = 22 y = -3x -... (answered by jim_thompson5910)