Question

solve this easy Question solve fastly
$9y - 1 = 31 + y$

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Answer 1

Step-by-step explanation:

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-solve and verify the equation

$9y - 1 = 31 + y$

$\huge\tt\underline\blue{Answer }$

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$⟹</p><p>9y - 1 = 31 + y$

$⟹</p><p>9y - y = 31 + 1$

$⟹</p><p>8y = 32$

$⟹</p><p>y = \frac{32}{8} = 4$

$⟹</p><p>y = 4$

CHECK:-

$⟹9(4) - 1 = 31 + 4</p><p>$

$⟹</p><p>36 - 1 = 35$

$⟹</p><p>35 = 35$

THEREFORE,L.H.S=R.H.S

VERIFIED ✔️

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Answer 2

$\huge\purple{\underline{❥Answer}}$

$\huge\implies\red{y = 4}$

$\huge\green{\underline{❥Explanation}}$

Simplifying

$9y + -1 = 31 + y$

Reorder the terms:

$-1 + 9y = 31 + y$

Solving

$-1 + 9y = 31 +$

Solving for variable $'y'$

Move all terms containing y to the left, all other terms to the right.

Add $'-1y'$ to each side of the equation.

$-1 + 9y + -1y = 31 + y + -1y$

Combine like terms: $9y + -1y = 8y$

$-1 + 8y = 31 + y + -1y$

Combine like terms: $y + -1y = 0$

$-1 + 8y = 31 + 0$

$-1 + 8y = 31$

Add $'1'$ to each side of the equation.

$-1 + 1 + 8y = 31 + 1$

Combine like terms: $-1 + 1 = 0$

[/tex]0 + 8y = 31 + 1[/tex]

$8y = 31 + 1$

Combine like terms: $31 + 1 = 32$

$8y = 32$

Divide each side by $'8'$

$y = 4$

Simplifying

$y = 4$