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Question
Solve graphically
`x/2 + y/4` = 1, `x/2 + y/4` = 2
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Solution
`x/2 + y/4` = 1
multiply by 4
2x + y = 4
y = −2x + 4
| x | −3 | −1 | 0 | 2 |
| y | 10 | 6 | 4 | 0 |
Plot the points (−3, 10), (−1, 6), (0, 4) and (2, 0) in the graph sheet
`x/2 + y/4` = 2
multiply by 4
2x + y = 8
y = −2x + 8
| x | −2 | −1 | 0 | 2 |
| y | 12 | 10 | 8 | 4 |
Plot the points (−2, 12), (−1, 10), (0, 8) and (2, 4) in the same graph sheet.
The given two lines are parallel.
∴ They do not intersect a point.
∴ There is no solution.
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