Question

solve the following equations and check your results. 1.x= 4/5 (x+10)​

Answer 1

Answer -

• The value of x = 40.

To find -

• The value of x.

Step-by-step explanation -

$\longmapsto \: \sf x = \dfrac{4}{5} \: \big( x + 10 \big)$

$\sf\longmapsto \: x = \dfrac{4x}{5} + \dfrac{40}{5}$

$\longmapsto \: \sf x = \dfrac{4x + 40}{5}$

$\longmapsto \sf \: x \times 5 = 4x + 40$

$\longmapsto \: \sf 5x = 4x + 40$

$\longmapsto \: \sf5x - 4x = 40$

$\longmapsto \: \sf x = 40$

Thus -

• The value of x is 40.

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

• To check our answer, let's substitute the value of "x" in the equation and see whether LHS = RHS.

LHS :

$\leadsto \tt x$

$\leadsto \tt 40$

RHS :

$\tt\leadsto \dfrac{4}{5} \: (40 + 10)$

$\tt\leadsto \dfrac{4}{5} \: (50)$

$\leadsto \tt \dfrac{4}{5} \times 50$

$\leadsto \tt \cancel{\dfrac{200}{5}}$

$\leadsto \tt40$

LHS = RHS.

Hence verified!!

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