MATH SOLVE

2 months ago

Q:
# PLZZZZZZ HELPPPPSolve the system of equations using the substitution method. {2x+8y=4x=β3y+5 Enter your answers in the boxes.

Accepted Solution

A:

2x + 8y = 4

x = -3y + 5

plug in the value of x, from the second equation, into the first

2(-3y + 5) + 8y = 4

-6y + 10 + 8y = 4

combine like terms

2y + 10 = 4

subtract 10

2y = -6

divide both sides by 2

y = -3

then, plug what you got for y into one of the equations

x = -3y + 5

x = -3(-3) + 5

x = 9 + 5

x = 14

Hope this helps! And yes, it's correct!

x = -3y + 5

plug in the value of x, from the second equation, into the first

2(-3y + 5) + 8y = 4

-6y + 10 + 8y = 4

combine like terms

2y + 10 = 4

subtract 10

2y = -6

divide both sides by 2

y = -3

then, plug what you got for y into one of the equations

x = -3y + 5

x = -3(-3) + 5

x = 9 + 5

x = 14

Hope this helps! And yes, it's correct!