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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`
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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
Solve graphically the simultaneous equations given below. Take the scale as 2 cm = 1 unit on both the axes.
x - 2y - 4 = 0
2x + y = 3
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).
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 + 4y = 7
3x + 8y = 10
Solve the following equations graphically :
x + 4y + 9 = 0
3y = 5x - 1
Solve the following equations graphically :
2x - 6y + 10 = 0
3x - 9y + 25 = 0
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 graphically
`x/2 + y/4` = 1, `x/2 + y/4` = 2
