Question

4 (2 y -3)+3( 3 y -4)=14 solve and check



do this​

Answer 1

$\huge{\underline{\underline{\bf{\purple{Question}}}}}$

• 4(2y-3)+3(3y-4) = 14

$\huge{\underline{\underline{\bf{\purple{To\:find}}}}}$

• Find the value of y and also check it

$\huge{\underline{\underline{\bf{\purple{Solution}}}}}$

$\implies\sf 4(2y-3)+3(3y-4)=14$

$\implies\sf 8y-12+9y-12=14$

$\implies\sf 17y-24=14$

$\implies\sf 17y=14+24$

$\implies\sf 17y=38$

$\implies\sf y=\frac{38}{17}$

$\huge{\underline{\underline{\bf{\purple{Verification}}}}}$

We can check the Solution for the equation 4(2y-3)+3(3y-4) = 14

LHS = 4(2y-3)+3(3y-4)

RHS = 14

$\implies\sf 4(2y-3)+3(3y-4)$

$\implies\sf 8y-12+9y-12$

$\implies\sf 17y-24$

$\implies\sf 17×\frac{38}{17}-24$

$\implies\sf 38-24=14$

LHS = RHS for the value y = 38/17

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$\large\underline\frak\red{Note}$

• LHS = left hand side
• RHS = Right hand side
• same sign = addition
• Opposite sign = Subtraction

Answer 2

We get,

=>$4(2y - 3) + 3(3y - 4) = 14 \\ \\=> 8y - 12 + 9y - 12 = 14 \\ \\=> 8y + 9y - 12 - 12 = 14 \\ \\=> 17y - 24 = 14 \\ \\=>17 y = 14 + 24 \\ \\=> y = \frac{38}{17}$

Verification :-

Put the value of y = 38/17 in above equation

We get,

=>$4(2y - 3) + 3(3y - 4) = 14 \\ \\ </u></em><em><u>=</u></em><em><u>></u></em><em><u>8y - 12 </u></em><em><u>+ 9y - 12 = 14 \\ \\ </u></em><em><u>=</u></em><em><u>></u></em><em><u>17y = 14 + 24 \\ \\</u></em><em><u>=</u></em><em><u>></u></em><em><u> 17 \times \frac{38}{17} = 38 \\ \\ </u></em><em><u>=</u></em><em><u>></u></em><em><u>38 = 38$

Hence,

• L. H. S. = R H. S