A 15 foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. Find th
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Answer:
12. a = 2
13.
Step-by-step explanation:
12.
6a(a + 3) = 2a(3a + 5) + 16
First, distribute 6a on the left side, and distribute 2a on the right side.
6a² + 18a = 6a² + 10a + 16
Subtract 6a² from both sides.
18a = 10a + 16
Subtract 10a from both sides.
8a = 16
Divide both sides by 8.
a = 2
13.
The LCD of 2 and 3 is 6. We multiply both sides of the equation by 6 to get rid of all denominators.
Combine like terms on the left side. Distribute the 2 on the right side.
Subtract 2x from both sides.
Divide both sides by 3.