# What ordered pairs satisfy this equation ? y=6x (72,12) (7,42) (15,90) (54,9) (36,6) (6,36)

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### 2 Answers

You need to input the coordinates of each given point in the equation `y = 6x ` to test what pair of coordinates makes the equation to hold.

Since the number of ordered pairs is large, you need to make the following observation in order to exclude some of them. You should notice that the coordinate y is a multiple of 6, hence, the vakue of 6 coordinate needs to be larger than the value of x coordinate and it need to be a multiple of 6. Hence, the following pairs may be excluded

Based on the following method of reasoning, you may exclude the following pairs:` (72,12), (54,9), (36,6).`

You need to test the ordered pair `(7,42)` , such that:

`y = 6x => 42 = 6*7 => 42 = 42`

Hence, the ordered pair `(7,42)` satisfies the equation `y = 6x` .

You need to test the ordered pair `(15,90)` , such that:

`y = 6x => 90 = 6*15 => 90 = 90`

Hence, the ordered pair `(15,90)` satisfies the equation `y = 6x.`

You need to test the ordered pair `(6,36)` , such that:

`y = 6x => 36 = 6*6 => 36 = 36`

Hence, the ordered pair `(6,36)` satisfies the equation `y = 6x.`

**Hence, evaluating the ordered pairs that satisfy the equation `y = 6x` yields **`(7,42),(15,90),(6,36).`

The given ordered pairs are (72,12), (7,42), (15,90), (54,9), (36,6) and (6,36).

To determine which of these satisfy the relation y=6x examine in which of the pairs of numbers is the second number 6 times the first.

(72,12): 72 = 6*12 or x = 6*y

(7,42): 42 = 6*7 or y = 6*x

(15,90): 90 - 6*15 or y = 6*x

(54,9): 54 = 6*9 or x = 6*y

(36,6): 36 = 6*6 or x = 6*y

(6,36): 36 = 6*6 or y = 6*x

This gives the following ordered pairs satisfying the given relation y = 6x, (7, 42), (15, 90) and (6, 36)