SOLUTION: 2.)Solve the system using substitution, explain your steps 3x � 4y = 10 2y = 2x � 6

Question 837816: 2.)Solve the system using substitution, explain your steps
3x � 4y = 10
2y = 2x � 6

Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Solve one of the equations for either variable; substitute the expression for this variable into the other equation. Solve for the variable in this equation. Use the result or the value to solve for the other variable.

Example, find x from your first equation:
3x-4y=10
3x=10+4y
x=10/3+4y/3
-
Substitute into second equation:
2y=2(10/3+4y/3)-6
y=(10/3+4y/3)-3
3y=10+4y-1, after dividing by three
0=10-1+y
-9=y
-
Use the value of y to find value of x:
x=10/3+4(-9)/3
x=(10-36)/3
x=-26/3
-
-
ANSWER: x=-26/3 and y=-9
RELATED QUESTIONS
Solve the system using substitution. Make sure to show/explain all of your steps for... (answered by Fombitz)

Solve the system using the substitution method. Show all your steps. 1. x+2y=6... (answered by checkley79)

Solve the system using substitution or elimination: 3x+2y= -12 2x+y= -7 and... (answered by checkley71)

Solve the system by using the substitution method. x-2y= 10, 2x-4y=... (answered by oberobic)

Solve the system by using substitution. 2x+2y= -6, 3x-2y=... (answered by mananth)

Solve the system by substitution. 1.3x+4y=11 -8-y=19 2.3x+2y=6 2x+5y=-7... (answered by ikleyn)

Solve the system of equations using substitution 3x + 4y=12 2x +... (answered by angelicnwa,mananth)

Solve the following linear system using the substitution method and check your solutions. (answered by waynest)

Solve each system by the substitution method. x � y = 5 2x = 2y + 14 3x + y... (answered by midwood_trail)