If a sentence is defined recursively by f(0)=3 and f(n+1) = f(n) +5 for n ? 0, then f(2) is A) 2 B) 3 C) 5 D) 8
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Answer:
Step-by-step explanation:
Let's take one of the equations and solve for x. I'll take the first one.
Divide by 13.
Now replace x in the second equation.
Distribute -8
Break down the fraction.
Subtract
Subtract 6y
Combine like terms;
Solve;
Keep solving;
Multiply by the negative reciprocal of the fraction next to y.
On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10
After having found y, replace it in any of the equations to find x.