Given: y+23+y+54=6 ⇒4y+8+3y+1512=6 ⇒ 4y+8+3y+15=6 × 12 ⇒ 7y+23=72 ⇒ 7y=72 23 ⇒ 7y=49 ⇒ y=497 ∴ y=7 nbsp; ...

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Linear Equations in One Variable

Solve: y+23+y...

Question

Solve: $\frac{y + 2}{3} + \frac{y + 5}{4} = 6$

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Solution

Given: $\frac{y + 2}{3} + \frac{y + 5}{4} = 6$
$\Rightarrow \frac{4 y + 8 + 3 y + 15}{12} = 6$
$\Rightarrow 4 y + 8 + 3 y + 15 = 6 \times 12$
$\Rightarrow 7 y + 23 = 72$
$\Rightarrow 7 y = 72 - 23$
$\Rightarrow 7 y = 49$
$\Rightarrow y = \frac{49}{7}$
$∴ y = 7$

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