Advertisements
Advertisements
प्रश्न
Solve graphically
`x/2 + y/4` = 1, `x/2 + y/4` = 2
Advertisements
उत्तर
`x/2 + y/4` = 1
multiply by 4
2x + y = 4
y = −2x + 4
| x | −3 | −1 | 0 | 2 |
| y | 10 | 6 | 4 | 0 |
Plot the points (−3, 10), (−1, 6), (0, 4) and (2, 0) in the graph sheet
`x/2 + y/4` = 2
multiply by 4
2x + y = 8
y = −2x + 8
| x | −2 | −1 | 0 | 2 |
| y | 12 | 10 | 8 | 4 |
Plot the points (−2, 12), (−1, 10), (0, 8) and (2, 4) in the same graph sheet.
The given two lines are parallel.
∴ They do not intersect a point.
∴ There is no solution.
APPEARS IN
संबंधित प्रश्न
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).
Use the graphical method to find the value of 'x' for which the expressions `(3x + 2)/(2) and (3)/(4)x - 2`
Solve the following equations graphically :
x + 3y = 8
3x = 2 + 2y
Solve the following equations graphically :
2x + 4y = 7
3x + 8y = 10
Solve the following equations graphically :
x + 4y + 9 = 0
3y = 5x - 1
Solve the following equations graphically :
3y = 5 - x
2x = y + 3
Find graphically the vertices of the triangle, whose sides are given by 3y = x + 18, x + 7y = 22 and y + 3x = 26.
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 = 0, y + 3 = 0
Solve graphically
x = −3, y = 3
