Class 9 Maths: Linear Equations in Two Variables - Advanced

If (a, 5) is a solution of the equation 2x + 3y = 19, find the value of ‘a’.

The graph of the linear equation 2x + 3y = 6 passes through the point (0, k). Find the value of k.

For what value of 'p' does the equation px + 4y = 8 have (2, 1) as a solution?

Which of the following is not a linear equation in two variables?

The cost of a notebook is twice the cost of a pen. Which linear equation in two variables represents this statement?

The equation of a line parallel to the x-axis at a distance of 3 units above the x-axis is ____.

Every solution of a linear equation in two variables is a point on the ____ of the equation.

If (k, 3k) is a solution of 3x - y = 10, then the value of k is ____.

Find four different solutions for the equation x + 2y = 6. Justify your answer.

The auto fare in a city is controlled. For the first kilometer, the fare is ₹10 and for the subsequent distance, it is ₹4 per km. Taking the distance covered as x km and total fare as ₹y, write a linear equation for this information.