Sample QuestionsSimultaneous Linear Equations questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A straight line passes through the points $(2, 5)$ and $(-4, -7).$ Plot these points on a graph paper and draw the straight line passes through these points. If points $(a, -1)$ and $(-5, b)$ lie on the line drawn, find the value of $a$ and $b.$
View full solution →Use the given table and draw the graph of a straight line.
| $X$ |
$1$ |
$2$ |
$3$ |
$P$ |
| $Y$ |
$1$ |
$q$ |
$-5$ |
$7$ |
Find graphically the values of $'p\ '$ and $'q\ '.$ View full solution →Draw the graphs of the following linear equations$:y + 5 = 0$
View full solution →Draw the graphs of the following linear equations$:x = 3$
View full solution →The sum of four times the first number and three times the second number is $15.$ The difference of three times the first number and twice the second number is $7.$ Find the numbers.
View full solution →If a number is thrice the other and their sum is $68,$ find the numbers.
View full solution →The difference of two numbers is $3,$ and the sum of three times the larger one and twice the smaller one is $19.$ Find the two numbers.
View full solution →If $1$ is added to the denominator of a fraction, the fraction becomes $\frac{1}{2}$. If $1$ is added to the numerator of the fraction, the fraction becomes $1$ . Find the fraction.
View full solution →The sum of the numerator and denominator of a fraction is $12$ . If the denominator is increased by $3 ,$ the fraction becomes $\frac{1}{2}$. Find the fraction.
View full solution →Samidha and Shreya have pocket money $Rs.x$ and $Rs.y$ respectively at the beginning of a week. They both spend money throughout the week. At the end of the week, Samidha spends $Rs. 500$ and is left with as much money as Shreya had in the beginning of the week. Shreya spends $Rs. 500$ and is left with $\frac{3}{5}$ of what Samidha had in the beginning of the week. Find their pocket money.
View full solution →Sunil and Kafeel both have some oranges. If Sunil gives $2$ oranges to Kafeel, then Kafeel will have thrice as many as Sunil. And if Kafeel gives $2$ oranges to Sunil, then they will have the same numbers of oranges. How many oranges does each have?
View full solution →$9$ pens and $5$ pencils cost $Rs.32$, and $7$ pens and $8$4 pencils cost $Rs.29$. Find the unit price for each pen and pencil.
View full solution →A solution containing $12\ \%\ $ alcohol is to be mixed with a solution containing $4\ \%\ $ alcohol to make $20$ gallons of solution containing $9\ \%\ $ alcohol. How much of each solution should be used?
View full solution →An eraser costs $Rs. 1.50$ less than a sharpener. Also, the cost of $4$ erasers and $3$ sharpeners is $Rs.29.$ Taking $x$ and $y$ as the costs $($in $Rs.)$ of an eraser and a sharpener respectively, write two equations for the above statements and find the value of $x$ and $y.$
View full solution →The ratio of two numbers is $\frac{2}{5}$. If $4$ is added in first and $32$ is subtracted from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.
View full solution →If $2$ is added to the numerator and denominator it becomes $\frac{9}{10}$ and if $3$ is subtracted from the numerator and denominator it becomes $\frac{4}{5}$ Find the fraction.
View full solution →Seven more than a $2-$digit number is equal to two less than the number obtained by reversing the digits. The sum of the digits is $5$. Find the number.
View full solution →The sum of a two$-$digit number and the number obtained by reversing the digits is $110$ and the difference of two digits is $2$. Find the number.
View full solution →In a two$-$digit number, the sum of the digits is 7$$. The difference of the number obtained by reversing the digits and the number itself is $9$. Find the number.
View full solution →