Advertisements
Advertisements
Question
Use the graphical method to show that the straight lines given by the equations x + y = 2, x - 2y = 5 and `x/(3) + y = 0` pass through the same point.
Advertisements
Solution
The equations can be written as follows:
y = 2 - x
y = `(1)/(2)(x - 5)`
y = `- x/(3)`
First prepare a table as follows:
| X | Y = 2 - x | Y = `(1)/(2)(x - 5)` | Y = `-x/(3)` |
| - 1 | 3 | - 3 | `(1)/(3)` |
| 0 | 2 | `-(5)/(2)` | 0 |
| 1 | 1 | - 2 | `-(1)/(3)` |
Thus the graph can be drawn as follows:
From the graph it is clear that the equation of lines are passes through the same point.
APPEARS IN
RELATED QUESTIONS
Draw the graph for the linear equation given below:
x - 5 = 0
Draw the graph for the linear equation given below:
4x - y = 0
Draw the graph for the linear equation given below:
y = 2x + 3
Draw the graph for the each linear equation given below:
y = `(3x)/(2) + (2)/(3)`
Draw the graph for the equation given below:
`(1)/(2) x + (2)/(3) y = 5`.
The graph of 3x + 2y = 6 meets the x=axis at point P and the y-axis at point Q. Use the graphical method to find the co-ordinates of points P and Q.
Draw the graph of equation x + 2y - 3 = 0. From the graph, find:
(i) x1, the value of x, when y = 3
(ii) x2, the value of x, when y = - 2.
Draw a graph of each of the following equations: `(x - 2)/(3) - (y + 1)/(2)` = 0
Draw a graph for each of the following equations and find the coordinates of the points where the line drawn meets the x-axis and y-axis: 2x + 3y = 12
Draw the graph of the lines represented by the equations 2x - y = 8 and 4x + 3y = 6 on the same graph. Find the co-ordinates of the point where they intersect.
