Linear Equations in One Variable — Maths STD 7 — Question
Maharashtra BoardEnglish MediumSTD 7MathsLinear Equations in One Variable4 Marks
Question
3(x - 3) = 5(2x + 1)
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Answer
3(x - 3) = 5(2x + 1)
On expanding the brackets on both sides, we get
= 3 × x - 3 × 3
= 5 × 2x + 5 × 1
= 3x - 9 = 10x + 5
Transposing 10x to L.H.S. and 9 to R.H.S., we get
= 3x - 10x = 9 + 5
= -7x = 14
Dividing both sides by 7, we get
$=\frac{-7\text{x}}{7}$
$=\frac{-14}{7}$
$=\text{x}=-2$
Verification:
Substituting x = -2 on both sides, we get
3(-2 - 3) = 5{2(-2) +1}
3(-5) = 5(-3)
-15 = -15
L.H.S. = R.H.S.
Hence, verified.
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