Question

Find the value of x that make it true

Answer 1

Explanation:

1). 10 =
`(1+7x)/(7+x)`

10(7 + x) = 1 + 7x

70 + 10x = 7x + 1

10x - 7x = 1 - 70

3x = -69

x = -23

2). 0.2 =
`(6+2x)/(12+x)`

0.2(12 + x) = 6 + 2x

2.4 + 0.2x = 6 + 2x

2.4 - 6 = 2x - 0.2x

1.8x = -3.6

x = -2

3). 0.8 =
`(x)/(x+0.5)`

0.8(x + 0.5) = x

0.8x + 0.4 = x

x - 0.8x = 0.4

0.2x = 0.4

x = 2

4). 3.5 =
`(4+2x)/(0.5-x)`

3.5(0.5 - x) = 4 + 2x

1.75 - 3.5x = 4 + 2x

-3.5x - 2x = 4 - 1.75

-5.5x = 2.25

x = -
`(2.25)/(5.5)`

x = -
`(9)/(22)`