I need 3 ordered pairs of points that would be solutions to this equation I have an idea of what suppose to fit because I think this equation has infinate solutions. What do you all think. Thank you!
4x - y = 7
You can choose ANY three values of x that you want and calculate the corresponding y. You are correct in assuming that there are an infinite numer of possible solutions.
One ordered pair would be x=0, y= -7
Another would be x = 2, y = 1
Would (3,5) and (4,9) work to? Thanks!
To find solutions to the equation 4x - y = 7, you can choose any value for x and then calculate the corresponding y value using the equation. This will give you ordered pairs (x, y) that satisfy the equation.
Let's start by arbitrarily choosing x = 0. Plugging this value into the equation, we have:
4(0) - y = 7
0 - y = 7
-y = 7
y = -7
Therefore, our first ordered pair is (0, -7).
Now, let's choose another value for x, say x = 1:
4(1) - y = 7
4 - y = 7
-y = 7 - 4
-y = 3
y = -3
So, the second ordered pair is (1, -3).
Lastly, let's choose x = 2:
4(2) - y = 7
8 - y = 7
-y = 7 - 8
-y = -1
y = 1
Therefore, the third ordered pair is (2, 1).
In conclusion, the three ordered pairs of points that satisfy the equation 4x - y = 7 are: (0, -7), (1, -3), and (2, 1).
As for whether this equation has infinite solutions or not, it can be seen that there is a unique solution for each value of x. Therefore, the equation 4x - y = 7 does not have infinite solutions.