Advertisements
Advertisements
प्रश्न
Determine the point on the graph of the linear equation 2x + 5y = 19, whose ordinate is `1 1/2` times its abscissa.
उत्तर
Given: 2x + 5y = 19 ...(i)
Ordinate is `1 1/2` times its abscissa
⇒ `y = 1 1/2 x = 3/2 x`
Putting `y = 3/2x` in equation (i)
We have `2x + 5 3/2x = 19`
⇒ `19/2x = 19`
⇒ x = 2
Putting x = 2 in equation (i)
We have 2 × 2 + 5y = 19
`y = (19 - 4)/5 = 3`
Therefore, point (2, 3) is the required solution.
APPEARS IN
संबंधित प्रश्न
The taxi fare in a city is as follows:- For the first kilometre, the fare is Rs. 8 and for the subsequent distance it is Rs. 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw its graph.
Draw the graph of the following linear equation in two variable : `(x-2)/3 = y - 3`
Draw the graph of the equation given below. Also, find the coordinates of the point
where the graph cuts the coordinate axes : −x + 4y = 8
Draw the graph of the equation given below. Also, find the coordinate of the points
where the graph cuts the coordinate axes : 3x + 2y + 6 = 0
Draw the graph obtained from the table below:
| X | a | 3 | - 5 | 5 | c | - 1 |
| Y | - 1 | 2 | b | 3 | 4 | 0 |
Use the graph to find the values of a, b and c. State a linear relation between the variables x and y.
A straight line passes through the points (2, 4) and (5, - 2). Taking 1 cm = 1 unit; mark these points on a graph paper and draw the straight line through these points. If points (m, - 4) and (3, n) lie on the line drawn; find the values of m and n.
Use graph paper for this question. Take 2 cm = 2 units on x-axis and 2 cm = 1 unit on y-axis.
Solve graphically the following equation:
3x + 5y = 12; 3x - 5y + 18 = 0 (Plot only three points per line)
Draw the graph of the following equation:
x = – 7
Find the values.
y = 3x + 1
| x | − 1 | 0 | 1 | 2 |
| y |
The following observed values of x and y are thought to satisfy a linear equation. Write the linear equation:
| x | 6 | – 6 |
| y | –2 | 6 |
Draw the graph using the values of x, y as given in the above table. At what points the graph of the linear equation cuts the y-axis
