# How do you solve the system a+b=11 and 3a-2b=8?

##### 1 Answer

Jul 31, 2018

#### Explanation:

#a+b=11to(1)#

#3a-2b=8to(2)#

#"from equation "(1)color(white)(x)a=11-bto(3)#

#"substitute "a=11-b" into equation "(2)#

#3(11-b)-2b=8#

#33-3b-2b=8#

#33-5b=8#

#"subtract 33 from both sides"#

#-5b=8-33=-25#

#"divide both sides by "-5#

#b=(-25)/(-5)=5#

#"substitute "b=5" into equation "(3)#

#a=11-5=6#

#"solution is "(a,b)to(6,5)#