Linear Equations in One Variable — MATHS STD 8 — Question
Gujarat BoardEnglish MediumSTD 8MATHSLinear Equations in One Variable1 Mark
MCQ
The solution of $\text{X}−\frac{5}{2}−\text{X}−\frac{3}{5}=\frac{1}{2}$ is:
✓
$x = 8$
B
$x = 7$
C
$x = 9$
D
$x = 5$
✓
Answer
Correct option: A.
$x = 8$
Given $\frac{(\text{x}−5)}{2}−\frac{(\text{x}−3)}{5}=\frac{1}{2}$
Now by taking $L.C.M$ for $5$ and $2$ is $10$
$\Rightarrow\frac{5(\text{x}−5)-2(\text{x}−3)}{10}=\frac{1}{2}$
By transposing the above equation we can write as
$\Rightarrow\text{(5x−25−2x+6)}=\frac{10}{2}$
$\Rightarrow\text{3x−19}=5$
Again by transposing
$\Rightarrow\text{3x}=19+5=24$
$\Rightarrow\text{x}=\frac{24}{3}=8$
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