Pair of Linear ...

Two intersecting lines are drawn in the graph given below. Find the point of intersection of these lines.

The equations x = -a and y = -b graphically represent lines which are

Use the given graph to find the solution of y = 10 – x and x = 2 + y.

For what value(s) of k does the given system of equations have no solution?

kx + 2y = 3
3x + 6y = 10

For what value of k does the pair of linear equations given below will not have unique solution?

2x - ky = k - 1
3x - 15y = 2k - 7

For what value of p does the pair of linear equations given below have not unique solution?

2x - 3y = 5
(2p - 1)x + py = 7

The cost of 3 pencils boxes and 3 erasers boxes is Rs. 150. Four times the cost of pencil box is 20 more than the cost of eraser box. Find the respective costs of a pencil box and an eraser box.

Find the values of x and y that solve the given set of equations.

2x + 3y = 2
4x² + y² = 4

Which of the following values of p is not correct for the system of equations pm – 4n = 8 and 24m – 8n = 12 to have a unique solution?

If 4y – 7 = and – 13 = 6y, find the value of (5x – 2y).

The length and the breadth of a rectangular plot are and b, respectively. The perimeter of the plot is 24 m. If the length is 4 m more than the breadth, what is the area of the plot?

In a box, there are 10 pens in total, out of which some are blue and some are red. When twice the number of blue pens is added to three times the number of red pens, the result obtained is 23. How many red pens are there in the box?

I have only 1-dollar and 50-cent coins amounting to $216. How many 50-cent coins do I have if the number of 1-dollar coins is 18 more than that of 50-cent coins?

If 2 boys and 5 girls complete a piece of work in 3 days, while 6 boys and 6 girls complete the same work in 2 days, then how many days will 1 girl alone take to finish the work?

A fraction reduces to if we subtract 2 from the numerator and 1 from the denominator. If we subtract 1 from the numerator and 2 from the denominator, the fraction becomes Which of the following is the correct representation of the equations, where n is numerator and d is denominator?