How do you solve by substitution y = 2x + 4y=2x+4 and y = 3x y=3x?

1 Answer
Jun 10, 2015

x=4x=4
y=12y=12

Explanation:

y=3xy=3x is already solved for yy. Substitute it into the other equation.

y=2x+4y=2x+4 =

Substitute 3x3x for yy and solve for xx.

3x=2x+43x=2x+4 =

x=4x=4

Substitute 44 for xx in the equation y=3xy=3x.

y=3(4)y=3(4) =

y=12y=12

Check by substituting the values for xx and yy into both equations.

First equation.

y=2x+4y=2x+4 =

12=2(4)+412=2(4)+4 =

12=1212=12 Check.

Second equation.

y=3xy=3x =

12=3(4)12=3(4) =

12=1212=12 Check.