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Question
Solve, graphically, the following pairs of equation :
2x + y = 23
4x - y = 19
Solution
2x + y = 23 ⇒ y = 23 - 2x
The table for y = 23 - 2x is
| X | 5 | 10 | 15 |
| Y | 13 | 3 | - 7 |
Also, we have
4x - y = 19 ⇒ y = 4x - 19
The table for y = 4x - 19 is
| X | 3 | 4 | 6 |
| Y | - 7 | - 3 | 5 |
Plotting the points we get the following required graph:
From the above graph, it is clear that the two lines y = 23 - 2x and y = 4x - 19 intersect at the point (7, 9)
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