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How do i do this problem.

How do i do this problem.-example-1
User Torno
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1 Answer

7 votes

Answer:

(8, 5): No

(8, 0): Yes

(4, -2): Yes

(-6, -4) No

Explanation:

For this question, it is very easy, you just substitute the values under (x,y) into the equation above

The equation is: 3x - 7y > 10

And the x and y values are

(x, y)

(8, 5)

(8, 0)

(4, -2)

(-6, -4)

x values: 8, 8, 4, -6

y values: 5, 0, -2, -4

An ordered pair tells you the location of a point by relating the point's location along the x-axis (the first value of the ordered pair) and along the y-axis (the second value of the ordered pair). In an ordered pair, such as (x, y), the first value is called the x-coordinate and the second value is the y-coordinate.

Now that we know everything, we set up the equation to see if the ordered pair is a solution or not

3x - 7y > 10

Let's substitute (8, 5) into the equation

3(8) - 7(5) > 10

Multiply the numbers

3(8) becomes 24 and -7(5) becomes -35

24 - 35 > 10

-11 > 10

False

So the ordered pair (8,5) is not a solution to the equation

Now for the next ordered pair: (8, 0)

3x - 7y > 10

Let's substitute (8, 0) into the equation

3(8) - 7(0) > 10

3(8) becomes 24 and -7(0) becomes 0

24 - 0 > 10

24 > 10

True

So the ordered pair (8, 0) is a solution to the equation

Now for the next ordered pair: (4, -2)

3x - 7y > 10

Let's substitute (4, -2) into the equation

3(4) - 7(-2) > 10

3(4) becomes 12 and -7(-2) becomes a positive 14, and remember that a negative times a negative becomes a positive

12 + 14 > 10

26 > 10

True

So the ordered pair (4, -2) is a solution to the equation

Now for the next ordered pair: (-6, -4)

3x - 7y > 10

Let's substitute (-6, -4) into the equation

3(-6) - 7(-4) > 10

3(-6) becomes -18 and -7(-4) becomes a positive 28

-18 + 28 > 10

10 > 10

False

Since they are the same number, they should be equal to

So the ordered pair (-6, -4) is not a solution to the equation

User Kaylah
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