Recent questions in Linear Equations

If $xyz=8$ and $y^2z=6$ find the value of $\large\frac{x}{y}$ ?

asked Jun 8, 2018 by meena.p

1 answer

If $ab=5, bc=\large\frac{5}{7},$ $ac=7$ the possible value(s) of $abc$ is

asked Jun 8, 2018 by meena.p

1 answer

If $12a-3b=131,$ and $5a-10b=61$ , then what is the value of $a+b$ ?

asked Jun 8, 2018 by meena.p

1 answer

A magazine publisher has a fixed amount of monthly production costs. If each month he sells 400 copies of the magazine, his monthly profit is $\$4600$ and if he sells $300$ copies, his monthly profit is $\$2500$ . What are the publisher's monthly production costs ?

asked Jun 8, 2018 by meena.p

1 answer

If $\large\frac{1}{3}$ or $(\large\frac{2}{9})$ of a certain number is $\large\frac{2}{3}$ or $\large\frac{1}{9}$ , then the number is

asked Jun 8, 2018 by meena.p

1 answer

For what value of x, if any is $\large\frac{(4-2x)(x-6)}{(6+3x)}$ undefined?

asked Jun 8, 2018 by meena.p

1 answer

Johannah has $\$50$ for soda and she needs to buy both diet and regular soda. Her total order must have at exactly 2 times as many cans of diet soda as cans of regular soda. What is the greatest number of cans of diet soda can she can buy if regular soda is $\$0.50$ per can and diet soda is $\$0.75$ per can?

asked Jun 7, 2018 by meena.p

1 answer

Eva needs to dilute some acid. How much pure water should be added to 2 gallons of $80\%$ acid to yield $20\%$ acid ?

asked Jun 7, 2018 by meena.p

1 answer

Steve sells cars. His monthly salary is $\$1500$ . He gets a commission of $\$500$ for each car he sells. If he wants to make $\$8500$ this months, how many cars would he have to sell ?

asked Jun 7, 2018 by meena.p

1 answer

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

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