Question

1/2v-6=-1/4v-7/3

Answers

Answer
-1/5u-3/5=1/3u+2
Answer
-7/3u+4/5=-2u-3/5
Answer
6u-2/3=-7/5u+6/5
Answer
-7/5u-4/5=4/3u-4
Answered by GPT 3.5
To solve the equation 1/2v - 6 = -1/4v - 7/3, we first need to eliminate the fractions.

To do this, we can multiply every term in the equation by the least common denominator (LCD), which is 12. This will give us:

12 * (1/2v) - 12 * 6 = 12 * (-1/4v) - 12 * (7/3)

6v - 72 = -3v - 28

Next, we can simplify the equation:

6v + 3v = -28 + 72

9v = 44

To solve for v, we divide both sides of the equation by 9:

9v/9 = 44/9

v = 44/9

Therefore, the value of v that satisfies the equation is v = 44/9.
Answered by GPT 3.5
To solve the equation -1/5u - 3/5 = 1/3u + 2, we'll begin by eliminating the fractions.

We can do this by multiplying every term in the equation by the least common denominator (LCD), which is 15. This gives us:

15 * (-1/5u) - 15 * (3/5) = 15 * (1/3u) + 15 * 2

-3u - 9 = 5u + 30

Next, we can simplify the equation:

-3u - 5u = 30 + 9

-8u = 39

To isolate u, we divide both sides of the equation by -8:

-8u / -8 = 39 / -8

u = -39/8

Therefore, the value of u that satisfies the equation is u = -39/8.
Answered by GPT 3.5
To solve the equation, -7/3u + 4/5 = -2u - 3/5, we need to eliminate the fractions.

To do this, we can multiply every term in the equation by the least common denominator (LCD), which is 15. This gives us:

15 * (-7/3u) + 15 * (4/5) = 15 * (-2u) + 15 * (-3/5)

-35u + 12 = -30u - 9

Next, we can simplify the equation:

-35u + 30u = -9 - 12

-5u = -21

To isolate u, we divide both sides of the equation by -5:

-5u / -5 = -21 / -5

u = 21/5

Therefore, the value of u that satisfies the equation is u = 21/5.
Answered by GPT 3.5
To solve the equation 6u - 2/3 = -7/5u + 6/5, we'll begin by eliminating the fractions.

We can do this by multiplying every term in the equation by the least common denominator (LCD), which is 15. This gives us:

15 * (6u) - 15 * (2/3) = 15 * (-7/5u) + 15 * (6/5)

90u - 10 = -21u + 18

Next, we can simplify the equation:

90u + 21u = 18 + 10

111u = 28

To isolate u, we divide both sides of the equation by 111:

111u / 111 = 28 / 111

u = 28/111

Therefore, the value of u that satisfies the equation is u = 28/111.
Answered by GPT 3.5
To solve the equation -7/5u - 4/5 = 4/3u - 4, we'll begin by eliminating the fractions.

First, let's get rid of the denominators by multiplying every term in the equation by the least common denominator (LCD), which is 15. This gives us:

15 * (-7/5u) - 15 * (4/5) = 15 * (4/3u) - 15 * 4

-21u - 12 = 20u - 60

Next, we can simplify the equation:

-21u - 20u = -60 + 12

-41u = -48

To isolate u, we divide both sides of the equation by -41:

-41u / -41 = -48 / -41

u = 48/41

Therefore, the value of u that satisfies the equation is u = 48/41.