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Solve the following pair of linear equations by graphical method : $2x + y = 9$ and $x - 2y = 2$
Solve the following pair of linear equations by graphical method : $2x + y = 9$ and $x - 2y = 2$
This Question has 1 answers.
$ Given equations: $
$ 2x + y = 9 \quad \cdots (1) $
$ x - 2y = 2 \quad \cdots (2) $
To solve graphically, we find two points for each equation.
For the first equation $ 2x + y = 9 $, express $ y $ in terms of $ x $:
$ y = 9 - 2x $
Substituting values:
If $ x = 0 $, then $ y = 9 $ (Point: (0,9))
If $ x = 3 $, then $ y = 3 $ (Point: (3,3))
For the second equation $ x - 2y = 2 $, express $ x $ in terms of $ y $:
$ x = 2 + 2y $
Substituting values:
If $ y = 0 $, then $ x = 2 $ (Point: (2,0))
If $ y = 3 $, then $ x = 8 $ (Point: (8,3))
Now, plot these points on a graph and draw the lines. The point where the two lines intersect gives the solution to the equations.
$ 2x + y = 9 \quad \cdots (1) $
$ x - 2y = 2 \quad \cdots (2) $
To solve graphically, we find two points for each equation.
For the first equation $ 2x + y = 9 $, express $ y $ in terms of $ x $:
$ y = 9 - 2x $
Substituting values:
If $ x = 0 $, then $ y = 9 $ (Point: (0,9))
If $ x = 3 $, then $ y = 3 $ (Point: (3,3))
For the second equation $ x - 2y = 2 $, express $ x $ in terms of $ y $:
$ x = 2 + 2y $
Substituting values:
If $ y = 0 $, then $ x = 2 $ (Point: (2,0))
If $ y = 3 $, then $ x = 8 $ (Point: (8,3))
Now, plot these points on a graph and draw the lines. The point where the two lines intersect gives the solution to the equations.
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