Question

Decide whether the given values of the variable are solutions of the given equation or not ?
1. 2x + 7 = 13. x=1,-2,2
2. x - 5 = 2. x=0,3,7
3. 2( x- 3 ) = 0. x =5,3,-2
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Answer 1

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\red{Question\;1:-}}}}$

2x + 7 ➨13

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$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\green{Solution:-}}}}$

➠ 2x ➨ 13 - 7

➠2x ➨ 6

➠ x ➨ 6/2

➠ x ➨ 3

$\tt{\orange{ Hence,\:x=1,\:-2\:or\:2\:is }}$

$\tt{\orange{not\:the\: solution\:!!}}$

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$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\red{Question\;2:-}}}}$

x - 5 ➨2

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$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\green{Solution:-}}}}$

➠ x ➨ 2 + 5

➠ x ➨ 7

$\tt{\orange{ Hence,\:only\:x=7}}$

$\tt{\orange{is\:the\: solution\:!!}}$

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$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\red{Question\;3:-}}}}$

2(x-3) ➨ 0

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$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\green{Solution:-}}}}$

➠ (x-3) ➨ 0

➠ (x-3) ➨ 3

$\tt{\orange{ Hence,\:only\:x=3}}$

$\tt{\orange{is\:the\: solution\:!!}}$

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