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Question
Draw a graph of each of the following equations: 3y + 2x = 11
Solution
3y + 2x = 11
⇒ 3y = 11 - 2x
⇒ y = `(11 - 2x)/(3)`
When x = 1, y = `(11 -2(1))/(3)` = 3
When x = -2, y = `(11 -2(-2))/(3)` = 5
When x = -5, y = y = `(11 -2(-5))/(3)` = 7
| x | 1 | -2 | -5 |
| y | 3 | 5 | 7 |
Plotting the points (1, 3), (-2, 5) and (-5, 7), w get a line AB as shown in the figure.
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