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Mathematics
Graph of a linear equation in two variables
Romila went to a stationery shop and purchased 2 pencils and 3 erasers for 9/- . Her friend Sonali saw the new variety of pencils and erasers with Romali and she also bought 4 pencils and 6 erasers of the same kind for 18/- . Represent this situation algebraically and graphically.

Mathematics
Graph of a linear equation in two variables
If countries like the USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius: ${\text{F}} = \left( {\dfrac{9}{5}} \right){\text{C}} + 32$
(i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.
(ii) If the temperature is ${30^ \circ }{\text{C}}$, what is the temperature in Fahrenheit?
(iii) If the temperature is ${95^ \circ }{\text{F}}$, what is the temperature in Celsius?
(iv) If the temperature is ${0^ \circ }{\text{C}}$, what is the temperature in Fahrenheit and if the temperature is ${0^ \circ }{\text{F}}$, what is the temperature in Celsius?
(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.

Mathematics
Graph of a linear equation in two variables
If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also read from the graph the work done when the distance travelled by the body is
(i) 2 units
(ii) 0 unit.
Mathematics
Graph of a linear equation in two variables
Show graphically that each one of the following systems of equations is inconsistent (i.e. has no solution):
x-2y = 6
3x-6y = 0
Mathematics
Graph of a linear equation in two variables
Solve the following system of the linear equations graphically.
3x + y + 1 = 0
2x – 3y + 8 = 0
Mathematics
Graph of a linear equation in two variables
Solve the following systems of equations graphically:
x - 2y = 5
2x + 3y = 10
Mathematics
Graph of a linear equation in two variables
Solve the system of equations graphically.
x+y=3, 2x+5y=12.

Mathematics
Graph of a linear equation in two variables
How do you graph $y = - 3x$ by plotting points $?$
Mathematics
Graph of a linear equation in two variables
How do you graph the line $x - 2y = 4$?

Mathematics
Graph of a linear equation in two variables
How do you graph the line $x = - 6y$ ?

Mathematics
Graph of a linear equation in two variables
How do you graph the line $y = x - 4$ by plotting points?

Mathematics
Graph of a linear equation in two variables
The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
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