What is the answer to (4u-7}{-7}=\frac{u-4)/4 ?

The answer to (4u-7}{-7}=\frac{u-4)/4 is u= 56/23

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(4u-7}{-7}=\frac{u-4)/4

\frac{4 u - 7}{- 7} = \frac{u - 4}{4}

u = \frac{56}{23}

Decimal Notation

u = 2.43478 \dots

Solution steps

\frac{4 u - 7}{- 7} = \frac{u - 4}{4}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(4 u - 7) \cdot 4 = (- 7) (u - 4)

Simplify

(4 u - 7) \cdot 4 = - 7 (u - 4)

Expand

(4 u - 7) \cdot 4 : 16 u - 28

Expand

- 7 (u - 4) : - 7 u + 28

16 u - 28 = - 7 u + 28

Move

28

to the right side

16 u = - 7 u + 56

Move

7 u

to the left side

23 u = 56

Divide both sides by

23

u = \frac{56}{23}

x, y^{0.12} = 6 x + 3 y

x, 5 x + 3 y = 95

\frac{x}{2 + 1} = x

3 + \frac{x}{4} = \frac{1}{2} \cdot (4 - \frac{x}{3}) - \frac{5}{6} + \frac{1}{3} \cdot (11 - \frac{x}{2})

\frac{x}{3} + x + \frac{1}{4} = 9

What is the answer to (4u-7}{-7}=\frac{u-4)/4 ?
The answer to (4u-7}{-7}=\frac{u-4)/4 is u= 56/23
Solve for u: (4u-7}{-7}=\frac{u-4)/4
The solution is u= 56/23