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in Linear Equations by (48.6k points)
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Solve the equation 13( y – 4) – 3(y-9) – 5(y + 4) = 0. Check your result.

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Best answer

The above question can be written as,= 13y – 52 – 3y + 27 – 5y – 20 = 0

Now, find the value of y by considering the above equation,

= 13y – 3y – 5y – 52 + 27 – 20 = 0

= 13y – 8y – 72 + 27 = 0

= 5y – 45 = 0

Transposing -45 to RHS and it becomes 45

= 5y = 45

Multiplying both side by (1/5)

= 5y × (1/5) = 45 × (1/5)

= y = 9

By substituting 9 in the place of y in given equation, we get

LHS,

= 5y – 45

= 5 × (9) – 45

= 45 – 45

= 0

RHS,

= 0

By comparing LHS and RHS

= 0 = 0

∴ LHS = RHS

Hence, the result is verified.

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