# How do you solve by substitution #x=3-3y# and #4y=x+11#?

##### 1 Answer

Mar 8, 2018

#### Explanation:

#x=3-3yto(1)#

#4y=x+11to(2)#

#"since equation "(1)" gives x in terms of y we can "color(blue)"substitute ""it directly into equation "(2)#

#4y=3-3y+11#

#"add 3y to both sides"#

#4y+3y=3cancel(-3y)cancel(-3y)+11#

#rArr7y=14#

#"divide both sides by 7"#

#(cancel(7) y)/cancel(7)=14/7#

#rArry=2#

#"substitute "y=2" into equation "(1)#

#x=3-(3xx2)=-3#

#"solution is "x=-3" and "y=2#