Express the linear equation 7=2x in the form ax+by+c=0 and also write the values of a, b and c.

4

(a)

Find the value of 'm' if (-m, 3) is a solution of equation 4x+9y-3=0

4

(a)

Determine the point on the graph of the equation 2x+5y=20 where x-coordinate is\({5\over2}\) times its ordinate.

4

(a)

Draw the graph of the linear equation \(y={2\over3}x+{1\over3}\).Check from the graph that (7, 5) is a solution of the linear equation

4

(a)

Solve for x:
\(3x-12+{3\over7}x=2(x-1)\)
What type of graph is it in two dimensions?

4

(a)

Solve 5x-2=3x-8 and represent the solution
(i) on a number line
(ii) in the cartesian plane

4

(a)

Draw the graph of \({2\over3}x-y=2\) and find the points where it cuts the co-ordinate axes.

4

(a)

Draw the graph of linear equations x+y=10 and 2x-y=5 and find the point of intersection.

4

(a)

A student Amit of class IX is unable to write in his examination, due to fracture in his arm. Akhil a student of class Vi writes for him. The sum of their ages is 25 years.
(i) Write a linear equation for the above situation and represent it graphically.
(ii) Find the age of Aknil from the graph, when age of Amit is 14 years.

4

(a)

At what point does the graph of the linear equation 2x+3y=9 meet a line which is a parallel to te y-axis, at a distance of 4 units from the origin and on the right of the y-axis?

4

(a)