Answer: The equation x = 7y + 2 is a linear equation in two variables, x and y. To find ordered pairs of x and y that satisfy this equation, we can choose values of y and then solve for x.
For example, if we choose y = 0, then:
x = 7y + 2
x = 7(0) + 2
x = 2
Therefore, the ordered pair (2, 0) satisfies the equation x = 7y + 2.
Similarly, if we choose y = 1, then:
x = 7y + 2
x = 7(1) + 2
x = 9
Therefore, the ordered pair (9, 1) satisfies the equation x = 7y + 2.
We can continue in this manner to find more ordered pairs. However, note that there are infinitely many ordered pairs that satisfy this equation, as the equation represents a line with a slope of 7 and a y-intercept of (0, 2). Therefore, we can choose any value of y and obtain a corresponding value of x that satisfies the equation.
Explanation: