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Complete the following table to draw the graph of 2x – 6y = 3: x −5 □ y □ 0 (x, y) □ □ - Algebra

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Question

Complete the following table to draw the graph of 2x – 6y = 3:

x −5 `square`
y `square` 0
(x, y) `square` `square`
Chart

Solution

x −5 `bb(3/2)`
y `bb(-13/6)` 0
(x, y) `bb(-5, -13/6)` `bb(3/2, 0)`

Explanation:

Given 2x − by = 3

for x = −5

2 (−5) − by = 3

−10 − by = 3

6y = −13y

= `−13/6`
for y = 0
2x − 0 = 3
2x = 3
x = `3/2`
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