21 Dec 2020 7:36 pm
Complete the following table to draw graph of the equations –
(I) x + y = 3 (II) x – y = 4
x + y = 3
x | 3 | ||
y | 5 | 3 | |
(x,y) | (3,0) | (0,3) |
x – y = 4
x | -1 | 0 | |
y | 0 | -4 | |
(x,y) | (0,-4) |
Solution
x + y = 3
x | 3 | -2 | 0 |
y | 0 | 5 | 3 |
(x,y) | (3,0) | (-2,5) | (0,3) |
x – y = 4
x | 4 | -1 | 0 |
y | 0 | -5 | -4 |
(x,y) | (4,0) | (-1,-5) | (0,-4) |
Solve the following simultaneous equations graphically.
Solution
x + y = 6
x | 0 | 6 | 2 |
y | 6 | 0 | 4 |
x – y = 4
x | 4 | 5 | 0 |
y | 0 | 1 | −4 |
2. x + y = 5 ; x – y = 3
Solution
x + y = 5
x | 0 | 5 | 2 |
y | 5 | 0 | 3 |
x – y = 3
x | 3 | 0 | 5 |
y | 0 | −3 | 2 |
3. x + y = 0 ; 2x – y = 9
Solution
x + y = 0
x | 3 | 1 | 2 |
y | −3 | −1 | −2 |
2x – y = 9
x | 3 | 0 | 1 |
y | −3 | −9 | −7 |
4. 3x – y = 2 ; 2x – y = 3
solution
3x – y = 2
x | 0 | 1 | 2 |
y | −2 | 1 | 4 |
2x – y = 3
x | 0 | 1 | 2 |
y | −3 | −1 | 1 |
5. 3x – 4y = –7 ; 5x – 2y = 0
Solution
3x – 4y = –7
x | 1 | 0 | −2.3 |
y | 2.5 | 1.75 | 0 |
5x – 2y = 0
x | 0 | 2 | 4 |
y | 0 | 5 | 10 |
6. 2x – 3y = 4 ; 3y – x = 4
Solution
2x – 3y = 4
x | 2 | 3.5 | 1 |
y | 0 | 1 | −0.6 |
3y – x = 4
x | −4 | 2 | −1 |
y | 0 | 2 | 1 |