SOLUTION: 3. Leah is 2 less than 3 times Rachel's age. 3 years from now, Leah will be 7 more than twice Rachel's age. How old will Rachel be in 3 years from now? I'm having trouble with

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Question 1079096: 3. Leah is 2 less than 3 times Rachel's age. 3 years from now, Leah will be 7 more than twice Rachel's age. How old will Rachel be in 3 years from now?

I'm having trouble with the equation.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Leah's age now
Let +b+ = Rachel's age now
------------------------------
(1) +a+=+3b+-+2+
(2) +a+%2B+3+=+2%2A%28+b+%2B+3+%29+%2B+7+
------------------------------
(2) +a+%2B+3+=+2b+%2B+6+%2B+7+
(2) +a+=+2b+%2B+10+
Substitue (1) into (2)
(2) +3b+-+2+=+2b+%2B+10+
(2) +b+=+12+
and
(1) +a+=+3b+-+2+
(1) +a+=+3%2A12+-+2+
(1) +a+=+36+-+2+
(1) +a+=+34+
----------------------
Leah is 34
Rachel is 12
---------------
check:
(2) +a+%2B+3+=+2%2A%28+b+%2B+3+%29+%2B+7+
(2) +34+%2B+3+=+2%2A%28+12+%2B+3+%29+%2B+7+
(2) +37+=+2%2A15+%2B+7+
(2 +37+=+37+
Ok
(1) +a+=+3b+-+2+
(1) +34+=+3%2A12+-+2+
(1) +34+=+36+-+2+
(1) +34+=+34+
OK