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in Linear Equations by (48.6k points)
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Solve the equation (2/3)x = (3/8)x + (7/12). Check your result.

1 Answer

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Best answer

Find the value of x by considering the above equation,Transposing (3/8)x to RHS and it becomes -(3/8)x.

= (2/3)x – (3/8)x = (7/12)

= [(16 – 9) / 24]x = (7/12)

= (7/24) x = (7/12)

Multiplying both side by (24/7),

= (7/24)x × (24/7) = (7/12) × (24/7)

= x = 2

By substituting 2 in the place of x in given equation, we get

LHS,

= (2/3)x

= (2/3) × (2)

= (4/3)

RHS,

= (3/8)x + (7/12)

= (3/8) × (2) + (7/12)

= (3/4) + (7/12)

= (9 + 7) / (12)

= (16/12)

= (4/3)

By comparing LHS and RHS

= (4/3) = (4/3)

∴ LHS = RHS

Hence, the result is verified.

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