Math, asked by abcd546852, 5 months ago

solve 2x- 8 / 5x + 2 = 3/2​

Answers

Answered by Anonymous
287

Question :-

Solve -

\rm \dfrac{2x - 8}{5x + 2} =  \dfrac{3}{2}

Solution :-

\rm \dfrac{2x - 8}{5x + 2} =  \dfrac{3}{2}

By cross multiplication :-

\rm 2(2x - 8) = 3(5x + 2)

\rm 4x - 16 = 15x + 6

\rm 15x - 4x =  - 16 - 6

\rm 11x =  - 22

\rm x =  \dfrac{ - \cancel{ 22}}{\cancel {11}}

\boxed{\rm x =  - 2}

Verification :-

\rm LHS = \dfrac{2x - 8}{5x + 2}

\rm \dfrac{2( - 2) - 8}{5( - 2) + 2}

\rm \dfrac{ - 4 - 8}{ - 10 + 2}

\rm \dfrac{ - 12}{ - 8}

\rm LHS =  \frac{3}{2} = RHS

Hence verified.

Answered by indhuambika1
3

Step-by-step explanation:

Solve -

\rm \dfrac{2x - 8}{5x + 2} = \dfrac{3}{2}

5x+2

2x−8

=

2

3

Solution :-

\rm \dfrac{2x - 8}{5x + 2} = \dfrac{3}{2}

5x+2

2x−8

=

2

3

By cross multiplication :-

➩ \rm 2(2x - 8) = 3(5x + 2)2(2x−8)=3(5x+2)

➩ \rm 4x - 16 = 15x + 64x−16=15x+6

➩ \rm 15x - 4x = - 16 - 615x−4x=−16−6

➩ \rm 11x = - 2211x=−22

➩ \rm x = \dfrac{ - \cancel{ 22}}{\cancel {11}}x=

11

22

➩ \boxed{\rm x = - 2}

x=−2

Verification :-

➩ \rm LHS = \dfrac{2x - 8}{5x + 2}LHS=

5x+2

2x−8

➩ \rm \dfrac{2( - 2) - 8}{5( - 2) + 2}

5(−2)+2

2(−2)−8

➩ \rm \dfrac{ - 4 - 8}{ - 10 + 2}

−10+2

−4−8

➩ \rm \dfrac{ - 12}{ - 8}

−8

−12

➩ \rm LHS = \frac{3}{2} = RHSLHS=

2

3

=RHS

Hence verified.

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