3 years ago

If 5^3b-1 = 5b-3, what is the value of b?

Mathematics

1 answer:

Paha777 [63]3 years ago

6 0

Answer:

b= -1

Step-by-step explanation:

3b-1=b-3

2b - 1 = -3

2b = -2

= -1

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3b-14/3b = 5b+2/3b b= ?

WINSTONCH [101]

First of all, observe that all fractions exist as long as b is not zero.

Multiply both numerator and denominator of the first fraction by 3:

$\dfrac{3b-15}{3b}+\dfrac{1}{3b}=\dfrac{5b+2}{3b}$

Now all fractions have the same denominator. Under the assumption that b is not zero, multiply both sides by 3b:

$3b-15+1=5b+2 \iff 3b-14=5b+2$

Subtract 3b from both sides:

$-14=2b+2$

Subtract 2 from both sides:

$-16=2b$

Divide both sides by 2:

$b=-8$

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What is the value of y for the line that has a slope of 1 and goes through the points (-4, y) and (-2, 8)?

Pavel [41]

Answer:

y = 6

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (-4,y) and (-2,8). Substitute m = 1 and solve for y.

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Three plus the reciprocal of a number equals 7 divided by that number. What is the number?

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