Express the following linear equation in the form ax+by+c=0 and indicate the values of a, b and c in each case:
\(x-{y\over 5}-10=0\)

3

(a)

Express the following linear equation in the form ax+by+c=0 and indicate the values of a, b and c in each case:
-2x+3y=6

3

(a)

Which one of the following options is true and why?
y = 3x + 5 hs
(i) a unique solution
(ii) only two solutions
(iii) infinitely many solutions

3

(a)

Check which of the following are solutions of equation x-2y = 4 and which are not:
(0,2)

3

(a)

Check which of the following are solutions of equation x-2y = 4 and which are not:
(2,0)

3

(a)

Draw the graph of the following linear equations in two variables:
y=3x

3

(a)

Yamini and Fatima, two students of Class IX of a school, together contributed Rs.100 towards the Prime Minister's Relief Fund to help the earthquake victims.Write a linear equation which satisfies this data. (You may take their contributions as Rs.x and Rs.y) Draw the graph of the same.

3

(a)

Give the equations of two lines passing through (-3, 4). How many more such lines are possible?

3

(a)

Write \(\sqrt{7}y=2x\)as a linear equation of the form ax+by+c=0.Also write the values corresponding to a, b, c.Does the graph of this linear equation pass through origin?Give your answer in yes or no.

3

(a)

The cost a notebook in a book-shop is Rs.15.Form a linear equation with x-representing the number of notebooks and y-representing the total cost (in Rs) and draw its graph.From the graph, find the total cost if 5 notebooks are purchased

3

(a)

If the point (-1,-5) lies on the graph of 3x=ay+7, then find the value of 'a'.

3

(a)

Given the equation 2x+y=7
(i) What is the value of x, when the value of y is 3?
(ii) What is the value of y, when the value of x is 4?
(iii) Find one more solution for the above equation.

3

(a)

Find two different solutions of the equation 4x+3y=12 from its graph.

3

(a)

Write three solutions of the equation 3x=y+3. Draw its graph and find the points where the graph intersects the axes.

3

(a)

Write the equation \(\frac{x}{2}+\frac{3y}{5}=-1\) in standard form and draw the graph.

3

(a)