Advertisements
Advertisements
प्रश्न
Draw a graph of the equation 2x - 3y = 15. From the graph find the value of:
(i) x, when y = 3
(ii) y, when x = 0
Advertisements
उत्तर
We have
2x - 3y = 15
⇒ -3y = 15 - 2x
⇒ 3y = 2x - 15
⇒ y = `(2x - 15)/(3)`
When x = -2
⇒ y = `-(19)/(3)`
= -6.34
When x = 0
⇒ y = `-(15)/(3)` = -5
When x = 2
⇒ y = `-(11)/(3)` = -3.66
| x | -2 | -1 | 0 | 1 | 2 |
| y | -6.34 | -5.66 | -5 | -4.34 | -3.66 |
Thus ordered pairs of 2x - 3y = 15 are {(-2, -6.34), (-1, -5.66), (0, -5),(1, - 4.34), (2, -3.66)}. Hence graph is a below.
(i) x, when y = 3
From graph we find that x = 12, when y = 3
(ii) y, when x = 0
Fro graph we find that y = -5, when x = 0.
APPEARS IN
संबंधित प्रश्न
Draw the graph for the linear equation given below:
x + 3 = 0
Draw the graph for the linear equation given below:
y = 4
Draw the graph for the linear equation given below:
y - 2 = 0
Draw the graph for the linear equation given below:
x = 0
Draw the graph for the linear equation given below:
3x + 2y = 0
Draw the graph for the linear equation given below:
x = - 2y
For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
y = x - 3
y = - x + 5
On the same graph paper, plot the graphs of y = 2x - 1, y = 2x and y = 2x + 1 from x = - 2 to x = 4. Are the graphs (lines) drawn parallel to each other?
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 y = x + 2, y = 2x - 1 and y = 2 from x = -3 to 4, on the same graph paper. Check whether the lines drawn are parallel to each other.
