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Question
Draw a graph of the equation 3x - y = 7. From the graph find the value of:
(i) y, when x = 1
(ii) x, when y = 8
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Solution
We have
3x - y = 7
⇒ -y = 7 - 3x
⇒ y = 3x - 7
When x = -2
⇒ y = -6 - 7
= -13
When x = 0
⇒ y = -7
When x = 2
⇒ y = 6 - 7
= -1
| x | -2 | -1 | 0 | 1 | 2 |
| y | -13 | -10 | -7 | -7 | -1 |
Thus ordered pairs of 3x - y = 7 are {(-2, -13), (-1, -10), (0, -7), (1, -4), (2, -1)}. Hence graph is as below.
(i) y, when x = 1
From graph we find that y = -4, when x = 1
(ii) x, when y = 8
From graph we find that x = 5, when y = 8.
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