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