Question
Solve the following equations. Check your result in case.
$\frac{2\text{x}+5}{3\text{x}+4}=3$
$\frac{2\text{x}+5}{3\text{x}+4}=3$
✓
Answer
$\frac{2\text{x}+5}{3\text{x}+4}=3$
(By cross multiplication)
$3(3\text{x}+4)=1(2\text{x}+5)$
$9\text{x}+12=2\text{x}+5$
$\Rightarrow9\text{x}-2\text{x}=5-12$
$\Rightarrow7\text{x}=-7$
$\Rightarrow\text{x}=\frac{-7}{7}=-1$
$\text{x}=-1$
Check:
$\text{L.H.S}.=\frac{2\text{x}+5}{3\text{x}+4}=\frac{2(-1)+5}{3(-1)+4}=\frac{-2\ +\ 5}{-3\ +\ 4}$
$=\frac{3}{1}=3=\text{R.H.S.}$
Hence $\text{x}=-1$
(By cross multiplication)
$3(3\text{x}+4)=1(2\text{x}+5)$
$9\text{x}+12=2\text{x}+5$
$\Rightarrow9\text{x}-2\text{x}=5-12$
$\Rightarrow7\text{x}=-7$
$\Rightarrow\text{x}=\frac{-7}{7}=-1$
$\text{x}=-1$
Check:
$\text{L.H.S}.=\frac{2\text{x}+5}{3\text{x}+4}=\frac{2(-1)+5}{3(-1)+4}=\frac{-2\ +\ 5}{-3\ +\ 4}$
$=\frac{3}{1}=3=\text{R.H.S.}$
Hence $\text{x}=-1$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the area, in square metres, of a rectangle whose
Length = 180 cm, breadth = 150 cm
Length = 180 cm, breadth = 150 cm
Find the simple interest, when:
Principal = ₹ 12000, $\quad$ Rate of Interest = 18% per annum $\quad$ and Time = 4 months.
→Principal = ₹ 12000, $\quad$ Rate of Interest = 18% per annum $\quad$ and Time = 4 months.
A piece of wire $3\frac{3}{4}\text{m}$ long broke into two pieces one piece is $1\frac{1}{2}\text{m}$ long. How long is the other piece$?$
→In the given figure, the arms of two angles are parallel. If $\angle A B C=70^{\circ}$, then find
(i) $\angle D G C$$\quad$(ii) $\angle D E F$
→(i) $\angle D G C$$\quad$(ii) $\angle D E F$
Express the following numbers to the lowest form: $\frac{-32}{-56}$
→Find the amount to be paid at the end of $3$ years in each case:Principal $=₹ 7,500$ at $5 \%$ p.a.
→Divide: $5\text{ by }\frac{-5}{7}$
→Express following as a product of powers of their prime factors: $2025$
→→
How much is $x-2 y+3 z$ greater than $3 x+5 y-7$ ?
→