Solve for y.

- 3/8 = - 3/2 * y + 7/4

3 answers

To solve for y, we need to isolate y on one side of the equation.

Given the equation:

- 3/8 = - 3/2 * y + 7/4

First, let's simplify the equation by multiplying both sides by 8 to get rid of the fraction:

8 * (- 3/8) = 8 * (- 3/2 * y + 7/4)
-3 = -12y + 14

Next, subtract 14 from both sides:

-3 - 14 = -12y
-17 = -12y

Finally, divide by -12 to solve for y:

y = -17/-12
y = 17/12

Therefore, y = 17/12.
Solve for x.
- 1/3 + 1/2 * x = - 6/5
To solve for x, we need to isolate x on one side of the equation.

Given the equation:

- 1/3 + 1/2 * x = -6/5

First, let's find a common denominator for the fractions, which is 30.

Multiply each term by 30 to get rid of the fractions:

30 * (-1/3) + 30 * (1/2) * x = 30 * (-6/5)
-10 + 15x = - 36

Next, add 10 to both sides:

15x = -26

Finally, divide by 15 to solve for x:

x = -26/15

Therefore, x = -26/15.