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Linear Equations in One Variable — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSLinear Equations in One Variable2 Marks
Question
Solve the following equations. Check your result in case. $5(2x -3) - 3(3x - 7) = 5$
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Answer

$5(2x - 3) - 3(3x - 7) = 5$
$\Rightarrow 10x - 15 - 9x + 21 = 5$
$\Rightarrow 10x - 9x - 15 + 21 = 5$
$\Rightarrow 10x - 9x = 5 + 15 - 21$ (By transposing)
$\Rightarrow x = 20 - 21 = -1$
$\Rightarrow x = -1$ Check:
$L.H.S. = 5(2x - 3) - 3(3x - 7) = 5[2 x (-1) -3]$
$-3[3 (-1) -7] = 5[-2 - 3] - 3[-3 - 7] = 5x(-5) -3x(-10) = -25 + 30 = 5 = R.H.S.$ Hence $x = -1$

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