Find 3 solutions of f 9x – 2y = 18

asked Feb 16, 2012

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## 1 Answer

Problem: Find three solutions of 9x – 2y = 18.
Find 3 solutions of f 9x – 2y = 18
(0, 0), (9, 2), (2, 9)
(0, –2), (9, 0), (9, –2)
(0, 2), (–9, 0), (1, 7)
(0, –9), (2, 0), (1, –4.5)

9x – 2y = 18
-2y = -9x + 18
y = 4.5x - 9

The first and easiest solution is
the y-intercept: (0, -9)

The next easiest is the x-intercept. Set y
to zero and solve for x.

0 = 4.5x - 9 = 0
4.5x - 9 = 0
4.5x = 9
x = 2

That point is (2, 0)

We have used x = 0 and x = 2. Let's go halfway
between them, with x = 1.

y = 4.5x - 9
y = 4.5(1) - 9
y = 4.5 - 9
y = -4.5

The third point is (1, -4.5)

Those three points are the last set offered: (0, –9), (2, 0), (1, –4.5)

answered Nov 15, 2015 by Level 11 User (78,600 points)

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