Recent questions tagged linear-equations

The sum of a two digit number and the number formed by interchanging its digits is 110. if 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number. Find the first number.

asked Jun 7, 2018 by meena.p

1 answer

The sum of two numbers is 8. If their sum is four times their difference, then the numbers are _______

asked Jun 7, 2018 by meena.p

1 answer

Solve for $x:|2x-3|-x=5$

asked Jun 7, 2018 by meena.p

1 answer

$x+2y=14\ 2x+y=13$. If (x,y) is the solution for the above system of equation find the value of $3x+7y$

asked Jun 7, 2018 by meena.p

1 answer

If the system of linear equations given below has infinitely many number of solutions, find the value of $\large\frac{a}{b}$$\;-\;4$ $\qquad \qquad \qquad 2x\;-\;(a-4)y\;=\;2b\;+\;1,$ $\qquad \qquad \qquad 4x\;-\;(a-1)y\;=\;5b\;-\;1$

asked Jun 7, 2018 by meena.p

1 answer

The line $\large\frac{x}{a} +\frac{y}{b} $$=1$ touches _________

asked Jun 7, 2018 by meena.p

1 answer

The value of 'k' for which the system $x+2y=13;(k-1)x+(k+1)y=k+2$ has no solutions is

asked Jun 7, 2018 by meena.p

1 answer

A number consists of two digits whose sum is five. When the digits are reversed, the new number becomes greater by 9 to the original number. Then the original number is.

asked Jun 6, 2018 by meena.p

1 answer

Three years ago Tim was twice as old as Susan. Twelve years ago Tim was three times as old as Susan. How many years older than Susan is Tim ?

asked Jun 6, 2018 by meena.p

1 answer

Emmy is counting his monkey when he notices that he has 3 more quarters than dimes and the number of nickels are the same as the sum of quarters and dimes. The total cash he has in hand is $\$3.60$. How many quarters does he have ?

asked Jun 6, 2018 by meena.p

1 answer

There are two classrooms A and B containing students. If 5 students are shifted from room A to room B, the resulting number of students in the two rooms are equal. If 5 students are shifted from room B to room A,the number of students in room A becomes double the number of students left in room B. Find the original number of students in the two rooms separately

asked Jun 6, 2018 by meena.p

1 answer

In a farm, every sheep has 4 legs and every chicken has 2 legs. If a farm boy counts 100 heads and 260 feet, how many sheep are there ?

asked Jun 6, 2018 by meena.p

1 answer

If $(x,y)$ is the solution to the system of equations above , find the value of y. $\large\frac{x}{y}$$=8$ and $3(y+2)=x$

asked Jun 6, 2018 by meena.p

1 answer

In the system of equation below $a$ and $b$ are constant . If it has no solution, What is the value of $\Large\frac{a}{b} +\frac{1}{4} $ $\qquad \qquad \qquad ax-by=10, \\\qquad \qquad \qquad x+4y=20.$

asked Jun 6, 2018 by meena.p

1 answer

If $3x+b=5x-7$ and $3y+c=5y-7$ where b and c are constants and if $b+c=2,$ which of the following is true?

asked Jun 6, 2018 by meena.p

1 answer

For what values of $a$ and $b$ does the following system of equations have infinitely many solutions? $\qquad \qquad \qquad ax+(b-1)y=5 ,\\ \qquad \qquad \qquad 2x-3y=-1.$

asked Jun 6, 2018 by meena.p

1 answer

If $(x,y)$ is a solution to the system of equation below, $\qquad \qquad \qquad 3x-2y=-14,\\ \qquad \qquad \qquad 2x-3y=-6,$ what is the value of $x-2y$?

asked Jun 6, 2018 by meena.p

1 answer

Internet services costs $\$0.50$ per minute for the first $8$ minutes and $\$0.20$ a minute there after. What is the best equation which represents the cost of internet in dollars, when time is greater than $8$ minutes.

asked Jun 5, 2018 by meena.p

1 answer

5 chairs and 10 tables cost $\$500$ and 10 chairs and 5 tables cost $\$400$. Find the cost of 10 chairs and 10 tables ?

asked Jun 5, 2018 by meena.p

1 answer

Charlene earns $\$150$ more per week than her roommate Kristi, who earns $\$200$ less than her other roommate Sacha. Together the three friends earn $\$2050$ per week. How much does each girl earn per week ?

asked Jun 5, 2018 by meena.p

1 answer

Mr.Jackson operates a company with his two sons , James and Jerry. Jerry makes thrice as much as james , who works only for part time. Mr.Jackson makes $\$400$ per week more than Jerry. The total weekly payroll is $\$1800$ . How much does each family member earn per week ?

asked Jun 5, 2018 by meena.p

1 answer

Dave bought a pair of trousers and a briefcase in department store. The sum of the prices of the trousers and the briefcase's without sales tax is $\$130.00$. There was no sales tax on the trousers and a $8\%$ sales tax on briefcase. The prices after the sales tax is $\$136.40$. What was the price in dollars for the trousers?

asked Jun 5, 2018 by meena.p

1 answer

$3x-y=3$ and $2(x+1)-3(x+1)-5=y$. If $(x,y)$, be the solution to the system of equations above and $y <0$ what is the value of y ?

asked Jun 5, 2018 by meena.p

1 answer

If $\large\frac{x}{2}+\frac{y}{3}$$=2$ and $y+8=2x$ find the value of $\large\frac{4x}{3}+\frac{3y}{2}$

asked Jun 5, 2018 by meena.p

1 answer

Find the value of $'k'$ such that $3x+6y+3=0$ and $-x+ky-1=0$ represents coincident lines.

asked Jun 5, 2018 by meena.p

1 answer

Which of the following set of linear equation has a unique solution :

asked Jun 5, 2018 by meena.p

1 answer

The following set of linear equations $2p-3q+1=0$ and $6p-9q-3=0$ have

asked Jun 5, 2018 by meena.p

1 answer

Tea worth $75 \in$ per pound is mixed with tea worth $90 \in $ per pound to produce $10$ pounds of a mixture worth $85 \in$ per pound. How many pound of each type of tea is used ?

asked Jun 4, 2018 by meena.p

1 answer

Eliza has collected nickels and dimes worth a total of $\$6.30$ . If she has collected $70$ coins in all and each is worth face value, how many of each kind does she have ?

asked Jun 4, 2018 by meena.p

1 answer

Jane invested $\$1000$ in a bank.One part of it at $8\%$ rate of interest and the rest $10\%$ interest.The total amount she recieved on interest was $\$94$. At what rate did she invest at each rate?

asked Jun 4, 2018 by meena.p

1 answer

At a game, adult tickets were sold for $\$2.50$ each and child tickets were sold for $\$ 1.50$ each . If 400 tickets were sold and the income was $\$ 900$ each . How many adult and child tickets were sold ?

asked Jun 4, 2018 by meena.p

1 answer

In a toy store, tiny stuffed pandas cost. $ \$2$ each and giant stuffed pandas cost $ \$15$each . If the store sold $30$ panda toys and made $ \$229 $ in the revenues in one week, how many tiny stuffed pandas and giant stuffed pandas were sold ?

asked Jun 4, 2018 by meena.p

1 answer

Solve for $t:\\\large\frac{4(t+2)-7}{2}=\frac{5-(4+t)}{6}$

asked Jun 4, 2018 by meena.p

1 answer

If $\large\frac{x}{2}$$=11-\large\frac{y}{2},$ and $\large\frac{y}{2}$$=x+5$ what is the value of $x+3y$ ?

asked Jun 4, 2018 by meena.p

1 answer

If the system of linear equations below has infinitely many number of solutions, find the value of $c$ . $\qquad \qquad 6x-3y=-3 \\ \qquad \qquad\large\frac{x}{2}-\frac{y}{4}=c$

asked Jun 4, 2018 by meena.p

1 answer

$\large\frac{2x}{5} -\frac{y}{4} \normalsize=12, kx-2y=22.$ If the system of linear equations below has no solution and k is a constant, what is the value of k ?

asked Jun 4, 2018 by meena.p

1 answer

If $3x+2y=10$ and $2y=4-2x$. Find the value of $\large\frac{x}{3}+\frac{y}{4}.$

asked Jun 4, 2018 by meena.p

1 answer

Ask Questions, Get Answers

The sum of a two digit number and the number formed by interchanging its digits is 110. if 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number. Find the first number.

The sum of two numbers is 8. If their sum is four times their difference, then the numbers are _______

Solve for $x:|2x-3|-x=5$

$x+2y=14\<br> 2x+y=13$. If (x,y) is the solution for the above system of equation find the value of $3x+7y$

If the system of linear equations given below has infinitely many number of solutions, find the value of $\large\frac{a}{b}$$\;-\;4$<br>$\qquad \qquad \qquad 2x\;-\;(a-4)y\;=\;2b\;+\;1,$<br> $\qquad \qquad \qquad 4x\;-\;(a-1)y\;=\;5b\;-\;1$

The line $\large\frac{x}{a} +\frac{y}{b} $$=1$ touches _________

The value of 'k' for which the system $x+2y=13;(k-1)x+(k+1)y=k+2$ has no solutions is

A number consists of two digits whose sum is five. When the digits are reversed, the new number becomes greater by 9 to the original number. Then the original number is.

Three years ago Tim was twice as old as Susan. Twelve years ago Tim was three times as old as Susan. How many years older than Susan is Tim ?

Emmy is counting his monkey when he notices that he has 3 more quarters than dimes and the number of nickels are the same as the sum of quarters and dimes. The total cash he has in hand is $\$3.60$. How many quarters does he have ?

In a farm, every sheep has 4 legs and every chicken has 2 legs. If a farm boy counts 100 heads and 260 feet, how many sheep are there ?

If $(x,y)$ is the solution to the system of equations above , find the value of y. <br>$\large\frac{x}{y}$$=8$ and $3(y+2)=x$

In the system of equation below $a$ and $b$ are constant . If it has no solution, What is the value of $\Large\frac{a}{b} +\frac{1}{4} $<br><br>$\qquad \qquad \qquad ax-by=10, \\\qquad \qquad \qquad x+4y=20.$

If $3x+b=5x-7$ and $3y+c=5y-7$ where b and c are constants and if $b+c=2,$ which of the following is true?

For what values of $a$ and $b$ does the following system of equations have infinitely many solutions?<br> $\qquad \qquad \qquad ax+(b-1)y=5 ,\\ \qquad \qquad \qquad 2x-3y=-1.$

If $(x,y)$ is a solution to the system of equation below, <br> $\qquad \qquad \qquad 3x-2y=-14,\\ \qquad \qquad \qquad 2x-3y=-6,$ <br>what is the value of $x-2y$?

Internet services costs $\$0.50$ per minute for the first $8$ minutes and $\$0.20$ a minute there after. What is the best equation which represents the cost of internet in dollars, when time is greater than $8$ minutes.

5 chairs and 10 tables cost $\$500$ and 10 chairs and 5 tables cost $\$400$. Find the cost of 10 chairs and 10 tables ?

Charlene earns $\$150$ more per week than her roommate Kristi, who earns $\$200$ less than her other roommate Sacha. Together the three friends earn $\$2050$ per week. How much does each girl earn per week ?

Mr.Jackson operates a company with his two sons , James and Jerry. Jerry makes thrice as much as james , who works only for part time. Mr.Jackson makes $\$400$ per week more than Jerry. The total weekly payroll is $\$1800$ . How much does each family member earn per week ?

$3x-y=3$ and $2(x+1)-3(x+1)-5=y$. If $(x,y)$, be the solution to the system of equations above and $y <0$ what is the value of y ?

If $\large\frac{x}{2}+\frac{y}{3}$$=2$ and $y+8=2x$ find the value of $\large\frac{4x}{3}+\frac{3y}{2}$

Find the value of $'k'$ such that $3x+6y+3=0$ and $-x+ky-1=0$ represents coincident lines.

Which of the following set of linear equation has a unique solution :

The following set of linear equations $2p-3q+1=0$ and $6p-9q-3=0$ have

Tea worth $75 \in$ per pound is mixed with tea worth $90 \in $ per pound to produce $10$ pounds of a mixture worth $85 \in$ per pound. How many pound of each type of tea is used ?

Eliza has collected nickels and dimes worth a total of $\$6.30$ . If she has collected $70$ coins in all and each is worth face value, how many of each kind does she have ?

Jane invested $\$1000$ in a bank.One part of it at $8\%$ rate of interest and the rest $10\%$ interest.The total amount she recieved on interest was $\$94$. At what rate did she invest at each rate?

At a game, adult tickets were sold for $\$2.50$ each and child tickets were sold for $\$ 1.50$ each . If 400 tickets were sold and the income was $\$ 900$ each . How many adult and child tickets were sold ?

In a toy store, tiny stuffed pandas cost. $ \$2$ each and giant stuffed pandas cost $ \$15$each . If the store sold $30$ panda toys and made $ \$229 $ in the revenues in one week, how many tiny stuffed pandas and giant stuffed pandas were sold ?

Solve for $t:\\\large\frac{4(t+2)-7}{2}=\frac{5-(4+t)}{6}$

If $\large\frac{x}{2}$$=11-\large\frac{y}{2},$ and $\large\frac{y}{2}$$=x+5$ what is the value of $x+3y$ ?

If the system of linear equations below has infinitely many number of solutions, find the value of $c$ .<br> $\qquad \qquad 6x-3y=-3 \\ \qquad \qquad\large\frac{x}{2}-\frac{y}{4}=c$

$\large\frac{2x}{5} -\frac{y}{4} \normalsize=12, kx-2y=22.$ <br>If the system of linear equations below has no solution and k is a constant, what is the value of k ?

If $3x+2y=10$ and $2y=4-2x$. Find the value of $\large\frac{x}{3}+\frac{y}{4}.$