Question 1107223
Twice Betty’s age increased by three times Lorena’s age equals 65.
2b + 3L = 65
 Five times Betty’s age decreased by twice Lorena’s age equals 20.
5b - 2L = 20
5b = 2L + 20
divide both sides by 5
b = .4L + 4 
 What is Lorena’s age?
In the 1st equation, replace b with (.4L+4)
2(.4L+4) + 3L = 65
.8L + 8 + 3L = 65
.8L + 3L = 65 - 8
3.8L = 57
L = 57/3.8
L = 15 yrs is Lorena's age

: