Question

Linear Equations 2x+7/5 - 3x+11/2 = 2x+8/3 - 5​

Answer 1

Answer:

x = -1

Step-by-step explanation:

The given equation is

2x+7

−

2

3x+11

=

3

2x+8

−5

Taking LCM on both sides.

2(2x+7)−5(3x+11)

=

3

2x+8−3(5)

\frac{4x+14-15x-55}{10}=\frac{2x+8-15}{3}

10

4x+14−15x−55

=

3

2x+8−15

\frac{-11x-41}{10}=\frac{2x-7}{3}

10

−11x−41

=

3

2x−7

On cross multiplication we get

3(-11x-41)=10(2x-7)3(−11x−41)=10(2x−7)

-33x-123=20x-70−33x−123=20x−70

Subtract 20x from both sides.

-33x-123-20x=20x-70-20x−33x−123−20x=20x−70−20x

-53x-123=-70−53x−123=−70

Add 123 on both sides.

-53x-123+123=-70+123−53x−123+123=−70+123

-53x=53−53x=53

Divide both sides by -53.

x=-1x=−1

Therefore, the value of x is -1.

Answer 2

Question :-

If the linear equation 2x + 7/5 - 3x + 11/2 = 2x + 8/3 - 5 , Find the value of x.

Solution :-

$: \implies \frac{2x+7}{5} - \frac{3x+11}{2} = \frac{2x+8}{3} - 5$

x = 1

For calculation , please refer the attachment