"Question 1 Draw the graph of each of the following linear equations in two variables:
(i) x + y = 4
(ii) x - y = 2
(iii) y = 3x
(iv) 3 = 2x + y
Class 9 - Math - Linear Equations in Two Variables Page 74"
Answers
Method to draw the graph of linear equation in two variables:
1. Let the linear equation in two variables be ax+by+c=0
Write the linear equation and Express Y in terms of x.
Y=(-ax+c)/b......(1)
2.
Put put arbitrary value of x in equation 1 and find the corresponding values of y.
3.
Form a table by writing the value’s of y to the corresponding values of x.
4.
Draw the coordinates axes on graph paper and take a suitable scale to plot points from the table on graph paper.
5.
Join the points and we get a straight line and produced it on both sides.
Hence, the straight line so obtained is the required graph of given linear equation.
It is enough to plot two points Corresponding to two solutions and join them by a line.
----------------------------------------------------------------------------------------------------
[ Table & graph are in the attachment]
Solution:
i)
Given Equation is
x +y= 4
To draw the graph we need at least 2 solutions of the equation.
Given equation can be written as
Y=4-x
When x=0, then y=4
When x=4, then y=0
So, plot the points
A(0,4), B(4,0) on the graph paper and join them by line.
Hence, line AB represents the required graph of a linear equation.
ii)
x-y=2
-y=2-x
y=x-2
when x=0, then y= -2
when y=0 , then x=2
iii) y=3x
when x=0, then y=0
when y=3, then x=1
iv)
3=2x+y
2x+y-3=0
y=(-2x+3)
when x= 0, then y=3
when x=1, then y=1
=========================================================
Hope this will help you.....
Answer:
Step-by-step explanation:
Method to draw the graph of linear equation in
two variables:
1. Let the linear equation in two variables be ax+by+c=0
Write the linear equation and Express Y in terms
of x.
Y=(-ax+c)/b......(1)
2.
Put put arbitrary value of x in equation 1 and
find the corresponding values of y.
3.
Form a table by writing the value’s of y to the
corresponding values of x.
4.
Draw the coordinates axes on graph paper and take
a suitable scale to plot points from the table on graph paper.
5.
Join the points and we get a straight line and
produced it on both sides.
Hence, the straight line so obtained is the
required graph of given linear equation.
It is enough to plot two points Corresponding to
two solutions and join them by a line.
----------------------------------------------------------------------------------------------------
[ Table & graph are in the attachment]
Solution:
i)
Given Equation is
x +y= 4
To draw the graph we need at least 2 solutions of
the equation.
Given equation can be written as
Y=4-x
When x=0, then y=4
When x=4, then y=0
So, plot the points
A(0,4), B(4,0) on the graph paper and join them
by line.
Hence, line AB represents the required graph of a
linear equation.
ii)
x-y=2
-y=2-x
y=x-2
when x=0, then y= -2
when y=0 , then x=2
iii) y=3x
when x=0, then y=0
when y=3, then x=1
iv)
3=2x+y
2x+y-3=0
y=(-2x+3)
when x= 0, then y=3
when x=1, then y=1
=========================================================
Hope this will help you.....
Read more on Brainly.in - https://brainly.in/question/1412245#readmore