Advertisements
Advertisements
Question
Solve graphically
x – y = 0, y + 3 = 0
Advertisements
Solution
x – y = 0
– y = – x
y = x
| x | – 2 | 0 | 1 | 3 |
| y | – 2 | 0 | 1 | 3 |
Plot the points (– 2, – 2), (0, 0), (1, 1) and (3, 3) in the same graph sheet.
y + 3 = 0
y = – 3
| x | – 2 | 0 | 1 | 2 |
| y | – 3 | – 3 | – 3 | – 3 |
Plot the points (– 2, – 3), (0, – 3), (1, – 3) and (2, – 3) in the same graph sheet.
The two lines l1 and l2 intersect at (– 3, – 3). The solution set is (– 3, – 3).
APPEARS IN
RELATED QUESTIONS
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 :
x = 4
`(3x)/(3) - y = 5`
Solve the following equations graphically :
x+ 2y - 7 = 0
2x - y - 4 = 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 the following system of equations graphically
x - y + 1 = 0
4x + 3y = 24
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
y = 2x + 1, y + 3x – 6 = 0
Solve graphically
x = −3, y = 3
Two cars are 100 miles apart. If they drive towards each other they will meet in 1 hour. If they drive in the same direction they will meet in 2 hours. Find their speed by using graphical method.
