Question

Is x+1/x-3 = 1/2 a linear equation

Answer 1

Answer:

x−1

1

+

x−2

2

=

x−3

3

(x−1)(x−2)

x−2+2(x−1)

=

x−3

3

(x−1)(x−2)

2x+x−2−2

=

x−3

3

(x−3)(3x−4)=3(x−1)(x−2)

3x

2

−9x−4x+12=3(x

2

−3x+2)

3x

2

−13x+12=3x

2

−9x+6

−13x+12=−9x+6

13x−12=9x−6

13x−9x=12−6

4x=6

x=

4

6

=

2

3

∴x=

2

3

Answer 2

Yes, it is a linear equation having value of x is -5.

Step-by-step explanation:

We are given,

   $\frac{x+1}{x-3} =\frac{1}{2}$

To solve this fraction, we need to do cross multiplication and get,

$2*(x+1)=x-3$

$2x+2=x-3$

In this way we get linear equation.

• Calculations for the value of x

Taking similar terms one side such as,

$2x-x=-3-2$

$x=-5$

The value of x is -5.