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Question
Solve graphically the following set of equations:
5x + 4y = 30 and 3y = 5x + 5
Sum
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Solution
Equation 1: 5x + 4y = 30
y = `(30 − 5x)/4`
Choose values of x and compute y:
| x | y = `bb(30 − 5x)/4` | Point |
| 0 | `30/4 = 7.5` | (0, 7.5) |
| 2 | `(30 − 10)/4` = 5 | (2, 5) |
| 4 | `(30 − 20)/4` | (4, 2.5) |
| 6 | `0/4 = 0` | (6, 0) |
Equation 2: 3y = 5x + 5
y = `(5x + 5)/3`
Choose values of x and compute y:
| x | y = `bb(5x + 5)/3` | point |
| 0 | `0 + 5/3 = 1.67` | (0, 1.67) |
| 2 | `(10 + 5)/3` = 5 | (2, 5) |
| 3 | `(15 + 5)/3` = 6.67 | (3, 6.67) |
| 5 | `25 + 5/3` = 10 | (5, 10) |
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