Question

7/8x-1/2=5/61/2+3/4x=3/87/9x+3/6=1/3​

Answer 1

Лови
x=32/21
x=-1/6
x=-3/14

Answer 2

Відповідь:

Покрокове пояснення:

7/8x-1/2=5/6

7/8x=5/6+1/2

7/8x=(5+3)/6

7/8x=8/6

8x=7*6/8

8x=42/8=5,25

X=5,25/8=525/800=21/32

1/2+3/4x=3/8. 1/2=4/8

3/4x=3/8-4/8

3/4x=-1/8

4x=-3*8=-24

X=-24/4=-6

7/9x+3/6=1/3. 3/6=1/2

7/9x=1/3-1/2

7/9x=(2-3)/6

7/9x-1/6

9x=-7*6=-42

X=-42/9=-14/3=-4(целое) 2/3(дробь)

Answer 3

To solve these equations, we'll isolate the variable "x" in each equation one by one.

1. $\frac{7}{8}x - \frac{1}{2} = \frac{5}{6}$:

First, add $\frac{1}{2}$ to both sides of the equation:

$\frac{7}{8}x - \frac{1}{2} + \frac{1}{2} = \frac{5}{6} + \frac{1}{2}$

Simplify:

$\frac{7}{8}x = \frac{5}{6} + \frac{1}{2}$

Now, find a common denominator for the fractions on the right side (which is 12):

$\frac{7}{8}x = \frac{10}{12} + \frac{6}{12}$

Combine the fractions:

$\frac{7}{8}x = \frac{16}{12}$

Reduce the fraction on the right side:

$\frac{7}{8}x = \frac{4}{3}$

To isolate $x$, multiply both sides by $\frac{8}{7}$:

$x = \frac{4}{3} \times \frac{8}{7}$

$x = \frac{32}{21}$

2. $\frac{1}{2} + \frac{3}{4}x = \frac{3}{8}$:

First, subtract $\frac{1}{2}$ from both sides of the equation:

$\frac{1}{2} + \frac{3}{4}x - \frac{1}{2} = \frac{3}{8} - \frac{1}{2}$

Simplify:

$\frac{3}{4}x = \frac{3}{8} - \frac{4}{8}$

Combine the fractions on the right side:

$\frac{3}{4}x = -\frac{1}{8}$

To isolate $x$, divide both sides by $\frac{3}{4}$ (which is the same as multiplying by $\frac{4}{3}$):

$x = -\frac{1}{8} \times \frac{4}{3}$

$x = -\frac{1}{6}$

3. $\frac{7}{9}x + \frac{3}{6} = \frac{1}{3}$:

First, simplify the fractions on the left side:

$\frac{7}{9}x + \frac{1}{2} = \frac{1}{3}$