Question

1)
Find the value of a for which the expression a-15 = 13-6a​

Answer 1

Step-by-step explanation:

a-15=13-6a

a+6a=13+15

7a=28

a=28/7

a=4

Hope this will be useful.

Answer 2

$\large\sf\underline{Given\::}$

• $\sf\:a-15=13-6a$

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$\large\sf\underline{To\:find\::}$

• Value of a

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$\large\sf\underline{Solution\::}$

$\sf\:a-15=13-6a$

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• Transposing ( - 6a ) to the other side

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$\sf\implies\:a-15=13-6a$

$\sf\implies\:a+6a-15=13$

$\sf\implies\:7a-15=13$

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• Transposing ( -15 ) to the other side

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$\sf\implies\:7a=13+15$

$\sf\implies\:7a=28$

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• Transposing 7 to the other side

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$\sf\implies\:a=\cancel{\frac{28}{7}}$

$\large{\mathfrak\red{\implies\:a\:=\:4}}$

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__________________________

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$\large\sf\underline{Verifying\::}$

$\sf\:a-15=13-6a$

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• Substituting the value of a as 4

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$\sf\implies\:4-15=13-6 (4)$

$\sf\implies\:4-15=13-6 \times 4$

$\sf\implies\:4-15=13-24$

$\sf\implies\:\cancel{-}11=\cancel{-}11$

$\sf\implies\:11=11$

$\small\fbox\blue{Hence\:Verified}$

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$\dag\:\underline{\sf So\:the\:required\:value\:of\:a\:is\:4.}$

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!! Hope it helps !!