Download App

Linear Equations in One Variable — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsLinear Equations in One Variable4 Marks
Question
$9\frac{1}{4}=\text{y}-1\frac{1}{3}$
✓

Answer

$9\frac{1}{4}=\text{y}-1\frac{1}{3} $
$\Rightarrow\frac{37}{4}$
$=\text{y}-\frac{4}{3}$
$\Rightarrow\frac{37}{4}+\frac{4}{3}$
$=\text{y}-\frac{4}{3}+\frac{4}{3}$ (Adding $\frac{4}{3}$ to both sides)
$\Rightarrow\text{y}=\frac{111+16}{12}$
$=\frac{127}{12}$
$=10\frac{7}{12}$
$\therefore\text{y}=10\frac{7}{12}$
Verification:
$\text{R.H.S}$ $=\text{y}-1\frac{1}{3}=10\frac{7}{12}-1\frac{1}{3}$
$=\frac{127}{12}-\frac{4}{3}$
$=\frac{127-16}{12}=\frac{111}{12}=\frac{37}{4}$ (Dividing by 3)
$=9\frac{1}{4}=\text{L.H.S}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "4 Mark Question" from Linear Equations in One Variable→Linear Equations in One Variable — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Construct a rectangle ABCD whose adjacent sides are 11cm and 8.5cm.
→
Find the difference between the simple interest and the compound interest on Rs. 5000 for 2 years at 9% per annum.
→
Draw a rhombus ABCD, if AB = 6cm and AC = 5cm.
→
Arrange the following rational numbers in descending order:
$-2,\frac{-13}{6},\frac{8}{-3},\frac{1}{3}$
→
Simplify :

(a + b)³ – a³ – b³

→
Subtract the sum of $31-4 m-7 n^2$ and $21+3 m-4 n^2$ from the sum of $91+2 m-3 n^2$ and $-31+m+4 n^2$.
→
Sudershan deposited Rs. 32000 in a bank, where the interest is credited quarterly. If the rate of interest be 5% per annum, what amount will he receive after 6 months?
→
Simplify :

(x – 2y + 3)² + (x + 2y – 3)²

→
Construct a quadrilateral ABCD in which AB = 3.5cm, BC = 3.8cm, CD = DA = 4.5cm and diagonal BD = 5.6cm.
→
Mohd. Aslam purchased a house from Avas Vikas Parishad on credit. If the cost of the house is Rs. 125000 and the Parishad charges interest at 12% per annum compounded half-yearly, find the interest paid by Aslam after a year and a half.
→