Question

Verify by substitution that:
i)x=4 is the root of 3x -5 =7
ii) x=3 is the root of 5 + 3x =14
iii)x=2 is the root of 3x -2 =8x -12​

Answer 1

Given : x = 4 is the root of 3x - 5 = 7

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${\underline{\frak{Now,Substituting \ x = 4 \ in \ place \ of \ x \ in \ the \ given \ equation, we \ get}}}$

$\sf{3(4)-5=7}$

$\sf{12-5=7}$

$\sf{7=7}$

Since,LHS = RHS

${\underline{\textsf{\textbf{Hence,x = 4~ is~ the~ root~ of~ 3x - 5 = 7}}}}$.

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Given :x = 3 is the root of 5 + 3x = 14

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${\underline{\frak{Now,Substituting \ x = 3 \ in \ place \ of \ x \ in \ the \ given \ equation, we \ get}}}$

$\sf{5+3(3)=14}$

$\sf{5+9=14}$

$\sf{14=14}$

Since,LHS = RHS

${\underline{\textsf{\textbf{Hence,x = 3~ is~ the~ root~ of~ 5 + 3x = 14 }}}}$

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Given : x = 2 is the root of 3x - 2 = 8x - 12.

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${\underline{\frak{Now,Substituting \ x = 2 \ in \ place \ of \ x \ in \ the \ given \ equation, we \ get}}}$

$\sf{3(2)-2=8(2)-12}$

$\sf{6-2=16-12}$

$\sf{4=4}$

Since,LHS = RHS

${\underline{\textsf{\textbf{Hence,x = 2~ is~ the~ root~ of~ 3x - 2 = 8x - 12}}}}$

Answer 2

hope that it will help you