Question

Need help with equations with fraction solutions, tysm if you do :)

1-2c = -8

-8/7r = 6

4-4 (4-x) -4x = 18x

1/5m + 3 = 7/5m

Answer 1

1. c = 9/2

2. r = -21/4

3. x = -2/3

4. m = 5/2

Explanation:

1-2c = -8

1 + 8 = 2c

9 = 2c

c = 9/2

-8/7r = 6

r = 6 × 7/-8

r = 3 × 7/-4

r = -21/4

4-4 (4-x) -4x = 18x

4 - 16 + 4x - 4x = 18x

-12 = 18x

x = -12/18

x = -2/3

1/5m + 3 = 7/5m

3 = (7/5 - 1/5)m

3 = 6/5m

m = 3 × 5/6

m = 5/2

Answer 2

1. c = 9/2

2. r = 21/4

3. x = -2/3

4. m = 5/2

Explanation:

1.

1 - 2c = -8

Subtract 1 from both sides to isolate the variable:

-2c = -8 - 1 = -9

Divide by -2 to further isolate the variable:

c = (-9) / (-2) = 9/2

So, the answer is c = 9/2.

2.

-8/7r = 6

To isolate the variable, divide both sides by -8/7:

r = (-6) / (-8/7)

Remember that when dividing fractions, it's the same as multiplying by the reciprocal of the divisor, so:

r = (-6) / (-8/7)

r = (-6) * (-7/8) = 42/8 = 21/4

So, the answer is r = 21/4.

3.

4 - 4 * (4 - x) - 4x = 18x

We need to use order of operations and expand the 4 * (4 - x) part first:

4 * (4 - x) = 16 - 4x

Put this back in:

4 - (16 - 4x) - 4x = 18x

4 - 16 + 4x - 4x = 18x

Combine like terms:

-12 = 18x

Divide by 18 on both sides:

x = -12/18 = -2/3

So, the answer is x = -2/3.

4.

1/5m + 3 = 7/5m

Subtract 1/5m from both sides:

3 = 7/5m - 1/5m = 6/5m

Divide both sides by 6/5:

m = 3 ÷ (6/5) = 3 * (5/6) = 15/6 = 5/2

So, the answer is m = 5/2.