Question
Solve:
$\frac{6\text{y}-5}{2\text{y}}=\frac{7}{9}$
$\frac{6\text{y}-5}{2\text{y}}=\frac{7}{9}$
✓
Answer
$\frac{6\text{y}-5}{2\text{y}}=\frac{7}{9}$
$\Rightarrow9(6\text{y}-5)=7(2\text{y})$ (by cross multiplication)
$\Rightarrow54\text{y} - 45 = 14\text{y}$
$\Rightarrow54\text{y} - 14\text{y} = 45$
$\Rightarrow 40\text{y} = 45$
$\Rightarrow \text{y} = \frac{45}{40}= \frac{9}{8}$
$\therefore\text{y} = \frac{9}{8}$
$\Rightarrow9(6\text{y}-5)=7(2\text{y})$ (by cross multiplication)
$\Rightarrow54\text{y} - 45 = 14\text{y}$
$\Rightarrow54\text{y} - 14\text{y} = 45$
$\Rightarrow 40\text{y} = 45$
$\Rightarrow \text{y} = \frac{45}{40}= \frac{9}{8}$
$\therefore\text{y} = \frac{9}{8}$
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
Write the coordinates of all points in the graph given below:
Mohan takes 9 hours to mow a large lawn. He and Sohan together can mow it in 4 hours. How long will Sohan take to mow the lawn if he works alone?
Observe the number line and answer the questions.
→
i. Which number is indicated by point B?
ii. Which point indicates the number $1 \frac{3}{4}$ ?
iii. State whether the statement, ‘the point D denotes the number $\frac{5}{2}$ is true or false.
Find the value of x, if:
$4 x=(52)^2-(48)^2$
→$4 x=(52)^2-(48)^2$
In a hostel, 75 students had food provision for 24 days. If 15 students leave the hostel, for how many days would the food provision last?
Find the square root of the following correct to three places of decimal:
23.1
23.1
Two motor mechanics, Raju and Siraj working together can overhaul a scoote in 6 hours. Raju alone can do the job in 15 hours. In how many hours, can Siraj alone do it?
At what rate percent compound interest per annum will Rs. 640 amount to Rs. 774.40 in 2 years?
Add the following algebric expressions:
$\frac{11}{2}\text{xy}+\frac{12}{5}\text{y}+\frac{13}{7}\text{x},$$-\frac{11}{2}\text{y}-\frac{12}{5}\text{x}-\frac{13}{7}\text{xy}$
→$\frac{11}{2}\text{xy}+\frac{12}{5}\text{y}+\frac{13}{7}\text{x},$$-\frac{11}{2}\text{y}-\frac{12}{5}\text{x}-\frac{13}{7}\text{xy}$
In a circle with centre P, chord AB is drawn of length 13 cm, seg PQ ⊥ chord AB, then find l(QB)
