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Linear Equations in Two Variables
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08/07/2021 10:58 am
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Draw the graph of each of the following linear equations in two variables:
(i) x + y = 4
(ii) x – y = 2
1 Answer
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08/07/2021 11:01 am
To draw a graph of linear equations in two variables, let us find out the points to plot.
Here,
x + y = 4
Substituting the values for x,
When x = 0,
x + y = 4
0 + y = 4
y = 4
When x = 4,
x + y = 4
4+y = 4
y = 4–4
y = 0
x → 0, 4
y → 4, 0
The points to be plotted are (0, 4) and (4,0)
To draw a graph of linear equations in two variables, let us find out the points to plot.
To find out the points, we have to find the values which x and y can have, satisfying the equation.
Here,
x–y = 2
Substituting the values for x,
When x = 0,
x–y = 2
0 – y = 2
y = – 2
When x = 2,
x–y = 2
2–y = 2
– y = 2–2
–y = 0
y = 0
x → 0, 2
y → -2, 0
The points to be plotted are (0, – 2) and (2, 0)