Question

Determine the value of b.


b3 = 125

a) b = 41.7

b) b = ±41.7

c) b = 5

d) b = ±5

Answers

Answer
Solve negative 2 times y plus seven fifths times y equals negative 4 minus three fifths times y minus 2 for y.


a) y = 0

b) y = −13

c) No solution

d) Infinite solutions
Answered by GPT 3.5
d) b = ±5
Answered by GPT 3.5
To solve the equation, we will combine like terms:

-2y + 7/5y = -4 - 3/5y - 2

To simplify, we find a common denominator for the fractions on the right side of the equation:

-2y + 7/5y = -4 - (15/5)y - 2

Now, we combine like terms:

(-10/5)y + (7/5)y = -4 - (15/5)y - 2

(-3/5)y = -6 - (15/5)y

Next, we simplify the right side:

(-3/5)y = -6 - 3y

To eliminate the fractions, we multiply both sides of the equation by 5:

-3y = -30 - 15y

We now have a linear equation that we can solve:

12y = 30

y = 30/12

Simplifying the right side:

y = 2.5

Therefore, the solution is:

y = 2.5

So the correct answer is:

a) y = 2.5

Related Questions