Write  the following as an equation in two variables:
5y=2

2

(a)

Express y in terms of x, it being given that 3x+y-9=0.Check whether the points (3,0) and (2, 2) lie on the equation

2

(a)

Find three different solutions for the equation 6x-8y+32=0

2

(a)

Given the point (1, 2), can you give the equation of a line on which it lies? How many such equations are there?

2

(a)

Draw the graph of the linear equation y = m.x + c for m = 2 and c = 1. Read from the graph the value of y when x = \(3\over 2\)

2

(a)

Given the point (1, 2), find the equation of a line on which it lies. How many such equations are there?Write the equation in the form ax + by + c = 0.

2

(a)

The cost of a note book is thrice the cost of a pen.Write a linear equation in two variables to represent this statement.Express it graphically.

2

(a)

The taxi fare in a city is as follows: for the first kilometer, the fare is Rs.10 and for the subsequent distance it is Rs.6 per km. Taking the distance covered as x km and total fare as Rs.y, write a linear equation for this information, and draw its graph.

2

(a)

Solve for x: \(3x+11+{x\over2}=-{7\over2}+18.\)What will be the graph of this equation?

2

(a)

Give the geometrical representation of the equation 3x + 15 = 0 as an equation:
(i) in one variable
(ii) in two variables.

2

(a)

Give equations of two lines on the same plane which are intersecting at point(2,3).

2

(a)

If x=2 and y=1 is the solution of the linear equation 2x+3y+k=0, find the value of k

2

(a)

Express y in terms of x from the equation 3x+2y=8 and check whether the point (4,-2) lies on the line

2

(a)

Find the point at which the equation 3x-2y=6 meets the x-axis.

2

(a)

Find the value of K so that x=-1 and y=-1 is a solution of the linear equation 9kx+12ky=63.

2

(a)