Question
Find the solution of the equation $5(3+y)=20+y$.
✓
Answer
We have, $5(3+y)=20+y$
$\Rightarrow \quad 15+5 y=20+y$
$\Rightarrow \quad 5 y-y=20-15\quad$ [transposing $y$ to LHS and 15 to RHS]
$\Rightarrow \quad 4 y=5$
$\therefore \quad y=\frac{5}{4} \quad$ [dividing both sides by 4]
Thus, solution of the given equation is $\frac{5}{4}$.
$\Rightarrow \quad 15+5 y=20+y$
$\Rightarrow \quad 5 y-y=20-15\quad$ [transposing $y$ to LHS and 15 to RHS]
$\Rightarrow \quad 4 y=5$
$\therefore \quad y=\frac{5}{4} \quad$ [dividing both sides by 4]
Thus, solution of the given equation is $\frac{5}{4}$.
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
A dice is rolled once. What is the probability that the number on top will be:
$a.$ Odd
$b.$ Greater than $5$
$c.$ A multiple of $3$
$d.$ Less than $1$
$e.$ A factor of $36$
$f.$ A factor of $6$
→$a.$ Odd
$b.$ Greater than $5$
$c.$ A multiple of $3$
$d.$ Less than $1$
$e.$ A factor of $36$
$f.$ A factor of $6$
Find the smallest number by which 147 must be multiplied so that it becomes a perfect square. Also, find the square root of the number so obtained.
The weekly pocket expenses (in rupees) of $30$ students of a class are given below: $62, 80, 110, 75, 84, 73, 60, 62, 100, 87, 78, 94, 117, 86, 65, 68, 90, 80, 118, 72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115$. Construct a frequency table with class intervals $60-70$ (where $70$ is not included), $70-80, 80-90$, etc.
→The following figures are parallelograms. Find the degree values of the unknowns $x, y, z.$
→Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.
Compiete the table.
→Compiete the table.
|
Rows, $r$
|
$4$
|
$6$
|
$8$
|
|
Number of white Tiles, $w$
|
$9$
|
|
|
|
Number of Purple Tiles, $p$
|
$1$
|
Find the smallest number by which $28812$ must be divided so that the quotient becomes a perfect square.
→A group of $360$ people were asked to vote for their favourite season from the three seasons rainy, winter and summer.
Draw a pie chart to show this information.
→| Season | No. of votes |
|---|---|
Summer  |
$90$ |
Rainy  |
$120$ |
Winter  |
$150$ |
Find the square root of the following correct to three places of decimal: $287\frac{5}{8}$
→The ratio between the curved surface area and the total surface area of a right circular cylinder is $1 : 2$. Find the ratio between the height and radius of the cylinder.
→Quadrilateral $EFGH$ is a rectangle in which J is the point of intersection of the diagonals. Find the value of $X$ if $JF = 8X + 4$ and $EG = 24X - 8.$
→