SOLUTION: I need to write a system of equation and solve it.one of my questions i dont understand it {{{ sallys age six years older then Adam Three Times Adams age plus Sallys age is 22 how

Algebra ->  Systems-of-equations -> SOLUTION: I need to write a system of equation and solve it.one of my questions i dont understand it {{{ sallys age six years older then Adam Three Times Adams age plus Sallys age is 22 how       Log On


   



Question 450815: I need to write a system of equation and solve it.one of my questions i dont understand it I very much appreciate your help and all your hard work put into answering this question.
what i know how to do is define my variables.
x=Sally's Age
y=Adam's Age
Or if you like the other way around.
once again i appreciate your hard work. thank you.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = Sally's present age
Let y = Adam's present age
:
Write an equation for each statement:
:
"Sally's age six years older than Adam's.
x = y+6
:
"Three Times Adams age plus Sally's age is 22."
3y + x = 22
:
From the 1st statement, replace x with (y+6), find y
3y + (y+6) = 22
3y + y = 22 - 6
4y = 16
y = 16%2F4
y = 4 yrs is Adam's age
then
4 + 6 = 10 yrs is Sally's age
:
:
Check solutions in the statement:
"Three Times Adams age plus Sally's age is 22."
3(4) + 10 = 22
\