Question

7x-2=5/3 find the valuse of x​

Answer 1

Answer:

11/21

Step-by-step explanation:

7x-2=5/3

7x=5/3+2

by taking LCM of 3

7x= 5+6/3

7x=11/3

x=11/3/7

x=11/21

Answer 2

Answer :-

• The value of x is 11/21.

Solution :-

$: \longmapsto\sf7x - 2 = \dfrac{5}{3}$

$: \longmapsto\sf7x = \dfrac{5}{3} + 2$

$: \longmapsto\sf7x = \dfrac{5 \times 1 + 2 \times 3}{3}$

$: \longmapsto\sf7x = \dfrac{5 + 6}{3}$

$: \longmapsto\sf7x = \dfrac{11}{3}$

$: \longmapsto\sf x = \dfrac{ \frac{11}{3} }{7}$

$: \longmapsto\sf x = \dfrac{11}{3} \times \dfrac{1}{7}$

$: \longmapsto\sf x = \dfrac{11}{21}$

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V E R I F I C A T I O N

• To check our answer, let's put 11/21 in the place of x and see whether LHS = RHS.

LHS

$: \longmapsto\rm7 \times \dfrac{11}{21} - 2$

$: \longmapsto \dfrac{77}{21} - 2$

$: \longmapsto\rm \dfrac{11}{3} - 2$

$: \longmapsto\rm \dfrac{11 \times 1 - 2 \times 3}{3}$

$: \longmapsto\dfrac{11 - 6}{3}$

$: \longmapsto\dfrac{5}{3}$

RHS

$: \longmapsto\dfrac{5}{3}$

LHS = RHS.

Hence verified!

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