Advertisements
Advertisements
प्रश्न
Solve graphically
3x + 2y = 4, 9x + 6y – 12 = 0
Advertisements
उत्तर
2y = – 3x + 4
y = `(- 3x + 4)/2`
= `(-3)/2x + 2`
| x | −2 | 0 | 2 |
| y | 5 | 2 | −1 |
Plot the points (– 2, 5), (0, 2) and (2, –1) in the graph sheet
9x + 6y = 12 ..........(÷3)
3x + 2y = 4
2y = `(-3x + 4)/2`
= `(-3)/2x + 2`
| x | −2 | 0 | 2 |
| y | 5 | 2 | −1 |
Plot the points (−2, 5), (0, 2) and (2, −1) the same graph sheet
Here both the equations are identical but in different form.
Their solution is the same.
These equations have an infinite number of solutions.
APPEARS IN
संबंधित प्रश्न
The sides of a triangle are given by the equations y - 2 = 0; y + 1 = 3 (x - 2) and x + 2y = 0.
Find, graphically :
(i) the area of a triangle;
(ii) the coordinates of the vertices of the triangle.
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 :
x = 4
`(3x)/(3) - y = 5`
Solve the following equations graphically :
`2 + (3y)/x = (6)/x`
`(6x)/y - 5 = (4)/y`
Find graphically the vertices of the triangle, whose sides have the equations 2y - x = 8, 5y -x = 14 and y = 2x - 1.
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
`x/2 + y/4` = 1, `x/2 + y/4` = 2
Solve graphically
x = −3, y = 3
