Question
Solve: $\frac{7\text{y}}{5}=\text{y}-4$

Answer

$\frac{7\text{y}}{5}=\text{y}-4$ By cross multiplication: $\Rightarrow7\text{y} = 5(\text{y} - 4)$ $\Rightarrow7\text{y}=\text{5y}-20$ $\Rightarrow7\text{y}-5\text{y}=-20$ $\Rightarrow2\text{y}=-20$ $\Rightarrow\text{y}=\frac{-20}{2}=-10$ $\therefore\text{y}=-10$

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

Similar questions

Using commutativity and associativity of addition of rational numbers, express the following as a rational number: $\frac{2}{5}+\frac{7}{3}+\frac{-4}{5}+\frac{-1}{3}$
Find the product: $−\frac{4}{27}\text{xyz}\big(\frac{9}{2}\text{x}^2\text{yz}−\frac{3}{4}\text{xyz}^2\big)$
Find $×$ so that $\Big(\frac{2}{9}\Big)^3\times\Big(\frac{2}{9}\Big)^{-6}=\Big(\frac{2}{9}\Big)^{2\text{x}-1}$
The count of bacteria in a certain experiment was increasing at the rate of $2\%$ per hour. Find the bacteria at the end of $2$ hours if the count was initially $500000.$
The given table shows the crop production of a State in the year $2008$ and $2009$. Observe the table given below and answer the given questions.
Crop
$2008$ Harvest $($Hectare$)$
Increase/ Decrease $($Hectare$)$ in $2009$
Bajra
$1.4 \times 10^3$
$-100$
Jowar
$1.7 \times 10^6$
$-440,000$
Rice
$3.7 \times 10^3$
$-100$
Wheat
$5.1 \times 10^5$
$+190,000$
$a.$ For which crop$(s)$ did the production decrease?
$b.$ Write the production of all the crops in $2009$ in their standard form.
$c.$ Assuming the same decrease in rice production each year as in $2009$, how many acres will be harvested in $2015? $Write in standard form.
Simplify $\text{x}(3 \text{x}+2 \text{y})-\text{y}(3 \text{x}-2 \text{y}).$
"When a monomial is divided by a monomial, the quotient is a monomial."
Siya disagrees with the statement as $x^2$ divided by $x^2$, is 1. Is Siya correct? Justify your answer.
For the development of basic infrastructure in a district, a project of Rs $108$ crore approved by Development Bank is as follows:
Item Head
Road
Electricity
Drinking water
Sewerage
Ammount in crore (Rs.)
$43.2$
$16.2$
$27.00$
$21.6$
Draw a pie chart for this data.
Find the cube root of each of the following number by prime factorisation method:
64
Find the smallest number by which $3645$ must be divided so that it becomes a perfect square. Also, find the square root of the resulting number.