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प्रश्न
Use the graphical method to find the value of 'x' for which the expressions `(3x + 2)/(2) and (3)/(4)x - 2`
उत्तर
Let y = `(3x + 2)/(2)`
The table for y = `(3x + 2)/(2)` is
| X | 2 | 4 | - 2 |
| Y | 4 | 7 | - 2 |
Let y = `(3)/(4) x - 2`
The table for y = `(3)/(4) x - 2` is
| X | 4 | - 4 | 8 |
| Y | 1 | - 5 | 4 |
Now plot the points on a graph and we get the following required graph:
Thus, the value of 'x' is - 4.
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संबंधित प्रश्न
Find graphically, the vertices of the triangle whose sides have the equations 2y - x = 8; 5y - x = 14 and y - 2x = 1 respectively. Take 1 cm = 1 unit on both the axes.
Using the same axes of co-ordinates and the same unit, solve graphically :
x + y = 0 and 3x - 2y = 10.
(Take at least 3 points for each line drawn).
Solve graphically, the following equations.
x + 2y = 4; 3x - 2y = 4.
Take 2 cm = 1 unit on each axis.
Also, find the area of the triangle formed by the lines and the x-axis.
Solve the following equations graphically :
2x + 4y = 7
3x + 8y = 10
Solve the following system of linear equations graphically :
4x - 5y - 20 = 0
3x + 3y - 15 = 0
Determine the vertices of the triangle formed by the lines, represented by the above equations and the y-axis.
Solve the following system of equations graphically:
2x = 23 - 3y
5x = 20 + 8y
Also, find the area of the triangle formed by these lines and x-axis in each graph.
Solve the following system of equations graphically:
6x - 3y + 2 = 7x + 1
5x + 1 = 4x - y + 2
Also, find the area of the triangle formed by these lines and x-axis in each graph.
Solve graphically
x + y = 7, x – y = 3
Solve graphically
y = 2x + 1, y + 3x – 6 = 0
Solve graphically
x = −3, y = 3
