solve the system of equations using the substitution method{x+y=6 and x=2y

Question

please help me figure this out

Answer 1

Hi Robert,

This is a pretty straight forward substitution.

We have two equations:

 

x+y=6 and x=2y

 

Since we know that x is the same as 2y, replace x with 2y in 1st equation

and solve it for y.

 

2y + y = 6

3y = 6

y = 6/3

y = 2

 

Now we know the value of y,

Use x=2y to find x

 

x = 2(2) = 4

 

x = 4, y = 2

 

Questions?