How do you solve x + y = 4 and y = 2x + 1?

1 Answer
Mar 24, 2018

Using substitution, you can find the solution is x=1, y=3

Explanation:

The second expression y=2x+1 is already an expression ready to substitute! Since we know what y is equivalent to, we can substitute it into the first expression:

x+y=4

x+(2x+1)=4 rArr x+2x+1=4

x(1+2)+1=4 rArr 3x+1=4

3xcancel(+1-1)=4-1 rArr 3x=3

color(red)(x=1)

Now that we know what x is equivalent to, we can solve for y

y=2x+1 rArr y=2(1)+1=2+1

color(blue)(y=3)