Write two equations for which 2 is the solution. - Vidyadip

Question

Write two equations for which $2$ is the solution.

✓

Answer

Let the two numbers be $x$ and $y,$ which has solution $2$ in equation.
$a.\ $For getting first equation, the number $x$ is multiplied by $2$, then the number is $2x$.
After that, $3$ is subtracted from it which results into $1$.
Hence, $2x - 3 = 1$
$2x = 3 + 1$ [transposing $-3$ to $RHS]$
$\Rightarrow 2x = 4$
$\Rightarrow\frac{2\text{x}}{2}=\frac{4}{2}$
$\Rightarrow x = 2$ [dividing both sides by $2]$
$b.\ $For getting second equation, the number $y$ is multiplied by $3$, then the number is $3y$. After that, it will be added to $4$ which results into $10.$
Hence, $3y + 4 = 10$
On solving, $3y = 10 - 4$
$\Rightarrow 3y = 6$ [transposing $+4$ to $RHS$]
$\Rightarrow\frac{3\text{y}}{3}=\frac{6}{3}$ [dividing both sides by $3]$
$\Rightarrow y = 2$
Hence, two equations are
$2x - 3 = 1$ and $3y + 4 = 10.$

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

Explore more

More "3 Marks Question" from Algebra→Algebra — all question types→MATHS STD 6 question papers→Gujarat Board STD 6 question papers→Gujarat Board question paper generator→

Similar questions

Thirty students were interviewed to find out what they want to be in future. Their responses are listed as below:
doctor, engineer, doctor, pilot, officer, doctor, engineer, doctor, pilot, officer, pilot, engineer, officer, pilot, doctor, engineer, pilot, officer, doctor, officer, doctor, pilot, engineer, doctor, pilot, officer, doctor, pilot, doctor, engineer
Arrange the data in a table using tally marks.

A rectangle having side lengths 5 cm and 3 cm is made using a piece of wire. If the wire is straightened and then bent to form a square, what will be the length of a side of the square?

Reduce each of the following fractions to its lowest term (simplest form): $\frac{84}{56}$

A mobile number consists of ten digits. First four digits are $9, 9, 7$ and $9$. Make the smallest mobile number by using only one digit twice from $8, 3, 5, 6, 0.$

Draw the following.
A triangle with no line of symmetry
Is it possible to draw a triangle with exactly two lines of symmetry?

If $x = (-23) + 22 + (-23) + 22 + ..... + (40$ terms$)$ and $y = 11 + (-10) + 11 + (-10) + ..... + (20$ terms$)$, then find $y - x.$

Given a line $BC$ and a point $A$ on it, construct a ray $AD$ using set squares so that $\angle\text{DAC}$ is: $150^\circ $

The students of a school belong to different religious backgrounds. The number of Hindu students is $288$, the number of Muslim students is $252$, the number of Sikh students is $144$ and the number of Christian students is $72$. Find the ratio of:
$a.\ $The number of Hindu students to the number of Christian students.
$b.\ $The number of Muslim students to the total number of students.

A box of medicine tablets contains $2,00,000$ tablets each weighing $20mg$. what is the total weight of all the tablets in the box in grams? in kilograms?

Replace $\square$ by the correct number: $\frac35=\frac{\square}{20}$