SOLUTION: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. 8y + 2x = 48 2x = 4y � 12

Question 368978: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
8y + 2x = 48
2x = 4y � 12
Answer by lefty4ever26(59) (Show Source): You can put this solution on YOUR website!
You need to solve one of the problems for one of the variables.
I chose to solve the 2nd equation for x.
2x=4y-12 Divide both sides by 2.
x=2y-6 Now you have the value of x. Plug (2y-6) into your x value in the first equation and solve for y.
8y+2x=48
8y+2(2y-6)=48
8y+4y-12=48
12y-12=48 Add 12 to both sides
12y=60 Divide both sides by 12
y=5 So we have the y value. Plug it back into one of the equations to solve for x. I chose the second equation
2x=4y-12
2x=4(5)-12 Solve for x
2x=20-12
2x=8
x=4
So the solution to the system of equations is (4,5).
Hope this helps!
RELATED QUESTIONS
Solve using the substitution method. Show your work. If the system has no solution or an... (answered by rapaljer)

Solve using the substitution method. Show your work. If the system has no solution or an... (answered by edjones)

-2x + 0y = -14 x + 11y = 18 Solve using the substitution method. Show your work. If... (answered by mananth)

Solve using the substitution method. Show your work. If the system has no solution or an... (answered by stanbon)

Solve using the substitution method. Show your work. If the system has no solution or an... (answered by rfer)

Solve using the substitution method. Show your work. If the system has no solution or an... (answered by jorel1380)

Solve using the substitution method. Show your work. If the system has no solution or an (answered by mananth)

Solve using the substitution method. Show your work. If the system has no solution or an... (answered by richard1234)

Solve using the substitution method. Show your work. If the system has no solution or an... (answered by Alan3354)