Question

Please Help Fast Algebra 1

Answer 1

d.

Explanation:

B = ⅗(A - 10)

B = ⅗A - 6

⅗A = B + 6

A = (5/3)(B + 6)

A = (5B + 30)/3

Answer 2

D

Explanation:

First, we need to "undo" the 3/5 fraction by dividing both sides of the equation by 3/5. This is basically the same as multiplying both sides by 3/5's reciprocal, 5/3:

`(5)/(3) *B=A-10`

Now, we just add 10 to both sides to "undo" the subtraction part:

`A=(5)/(3) B+10`

We see that all the answer choices are fractions, so we need to find a common denominator for the term (5/3)B and the term 10; we can just use 3 as a denominator. To make 10 have a denominator of 3, we can write 10 as
`(10)/(1)` and multiply the numerator and denominator by 3:
`(10*3)/(1*3)=(30)/(3)` . Now, we replace 10 with 30/3:

A =
`(5B+30)/(3)`

Thus, the answer is D.

Hope this helps!