Question
Solve: $\frac{2\text{x}-(7-5\text{x})}{9\text{x}-(3+4\text{x})}=\frac{7}{6}$
✓
Answer
$\frac{2\text{x}-(7-5\text{x})}{9\text{x}-(3+4\text{x})}=\frac{7}{6}$ $\Rightarrow\frac{2\text{x} - 7 + 5\text{x}}{9\text{x} - 3 - 4\text{x}} = \frac{7}{6}$ $\Rightarrow\frac{7\text{x} - 7}{5\text{x} - 3} = \frac{7}{6}$ $\Rightarrow6 (7\text{x} - 7) = 7 (5\text{x} - 3)$ (by cross multiplication) $\Rightarrow42\text{x} - 42 = 35\text{x} - 21$ $\Rightarrow 42\text{x} - 35\text{x} = 42 - 21$ $\Rightarrow7\text{x} = 21 $ $\Rightarrow\text{x}=\frac{21}{7}=3$ $\therefore \text{x} = 3$
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
Ranjit works in a multinational company as a senior executive with annual package of 12 lakh.
He pays income tax regularly and donates 5% of his annual earning to an orphanage. What amount of money he donate?
He pays income tax regularly and donates 5% of his annual earning to an orphanage. What amount of money he donate?
$\frac{3\text{t}-2}{3}+\frac{2\text{t}+3}{2}=\text{t}+\frac{7}{6}$
→Subtract the sum of $(2x - x^2+ 5)$ and $(-4x - 3 + 7x^2)$ from $5.$
→Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs. $1,00,000$, how much money did Anima have?
→The following items are purchased from showroom: T-Shirt worth $Rs. 1200$. Jeans worth $Rs. 1000. 2$ Skirts worth Rs. $1350$ each.
→Find the following product:$\left(9 x^2-x+15\right) \times\left(x^2-x-1\right)$
→Which of the following numbers are cubes of negative integers. $−2744$
→Replace $A, B, C$ by suitable numerals. $ \ \ \ \text{C B 5}\\-\underline{2 \ 8\text{ A}}\\ \ \ \ \ \underline{2 \ 5 \ 9 \ }$
→The following is the time$-$distance graph of Sneha’s walking.
$a.$ When does Sneha make the least progress? Explain your reasoning.
$b.$ Find her average speed in $\text{km/hour.}$
→$a.$ When does Sneha make the least progress? Explain your reasoning.
$b.$ Find her average speed in $\text{km/hour.}$
Two angles of a triangle are in the ratio $4 : 5.$ If the sum of these angles is equal to the third angle, find the angles of the triangle.
→