Advertisements
Advertisements
प्रश्न
Solve graphically
3x + 2y = 4, 9x + 6y – 12 = 0
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.
The cost of manufacturing x articles is Rs. (50 + 3x). The selling price of x articles is Rs. 4x.
On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against the number of articles.
Use your graph to determine:
No. of articles to be manufactured and sold to break even (no profit and no loss).
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.
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 + 4y + 9 = 0
3y = 5x - 1
Solve the following system of equations graphically
x - y + 1 = 0
4x + 3y = 24
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 graphically
y = 2x + 1, y + 3x – 6 = 0
Solve graphically
x = −3, y = 3
Two cars are 100 miles apart. If they drive towards each other they will meet in 1 hour. If they drive in the same direction they will meet in 2 hours. Find their speed by using graphical method.
