Question

X-1/3 + X+1/2 - X+7/2 = 1​

Answer 1

Answer:

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

x=1-4+1/3

x=-8/3

Answer 2

Answer:

Step-by-step explanation:

Given -

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

To find -

The value of $x$

Solution -

For addition or subtraction of fraction number both the denominator should be same.

Subtract  $x-\frac{1}{3}$

Multiply x by $\frac{3}{3}$ we get

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

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

Add $x+\frac{1}{2}$

Multiply x by $\frac{2}{2}$ we get

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

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

Add $x+\frac{7}{2}$

Multiply x by $\frac{2}{2}$ we get

= $\frac{2x}{2}+\frac{7}{2}$

= $\frac{2x+7}{2}$

place these value in the given equation

$\frac{3x-1}{3} +\frac{2x+1}{2}-\frac{2x+7}{2}$

Multiply $\frac{3x-1}{3} \: by \:\frac{2}{2}$ and $\frac{2x+1}{2} , \frac{2x+7}{2}\: by\: \frac{3}{3}$ we get

$\frac{6x-2}{6} +\frac{6x+3}{6}-\frac{6x+21}{6}$

$\frac{6x-2+6x+3-6x+21}{6} =1$

$6x-2+6x+3-6x+21 =1\times6$

$6x+22= 6$

$6x=6-21$

$6x = 15$

Divide both side by 3 we get

$3x =5$

$x=\frac{5}{3}$

In decimal 1.66

∴ The value of x is 5/3 or 1.66