Advertisements
Advertisements
Question
Use the graphical method to find the value of 'x' for which the expressions `(3x + 2)/(2) and (3)/(4)x - 2`
Advertisements
Solution
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.
APPEARS IN
RELATED QUESTIONS
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:
The profit or loss made when (a) 30 (b) 60 articles are manufactured and sold.
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.
Solve the following equations graphically :
2x - y = 9
5x + 2y = 27
Solve the following equations graphically :
2x - 6y + 10 = 0
3x - 9y + 25 = 0
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 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.
Draw the graph of the following equations :
3x + 2y + 6 = 0
3x + 8y - 12 = 0
Also, determine the co-ordinates of the vertices of the triangle formed by these lines and x-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 graphically
x + y = 7, x – y = 3
Solve graphically
3x + 2y = 4, 9x + 6y – 12 = 0
