Question

solve the following equation and check your answers: 5x+4/2x+3=2​

Answer 1

Answer:

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Step-by-step explanation:

= 5x + 4 = 2

2x + 3

= 5x + 4 = 2 ( 2x + 3 )

= 5x + 4 = 4x + 6

= 5x - 4x = 6 - 4

= x = 2

Check :-

= 5x + 4 = 2

2x + 3

= 5(2) + 4 = 2

2(2) + 3

= 10 + 4 = 2

4+ 3

= 14 = 2

7

= 2 = 2

= LHS = RHS

= It's proved.

Answer 2

Corrected Question :

• Solve the following equation and check your answers : ${\sf{\dfrac{5x + 4}{2x + 3} = 2}}$

A N S W E R :

• x = 2

S O L U T I O N :

:$\implies$${\sf{5x + 4 = 2\bigg(2x + 3\bigg)}}$

:$\implies$${\sf{5x + 4 = 4x + 6}}$

:$\implies$${\sf{5x - 4x = 6 - 4}}$

:$\implies$${\underline{\boxed{\frak{\pink{x = 2}}}}}$★

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

${\sf{\dfrac{5x + 4}{2x + 3} = 2}}$

:$\implies$${\sf{\dfrac{5\bigg(2\bigg) + 4}{2\bigg(2\bigg)} + 3 = 4}}$

:$\implies$${\sf{\dfrac{10 + 4}{4 + 3} = 2}}$

:$\implies$${\sf{\dfrac{14}{7}}}$

:$\implies$${\sf{\cancel{\dfrac{14}{2}}}}$

:$\implies$${\underline{\boxed{\frak{\purple{2 = 2}}}}}$★

$~~~~~~~~~~~~~~~~~~~~~$$\boxed{\bf{LHS = RHS}}$

$~~~~$$\qquad\quad\therefore{\underline{\textsf{\textbf{Hence, Verified!}}}}$

$~~~~~~~~~~~~~~$ _____________________