Question

For the equation (y = 7x - 2), use substitution to determine whether the given ordered pairs (-1, -9) and (0, 2) are solutions.

a) For (-1, -9), the equation is satisfied.

b) For (-1, -9), the equation is not satisfied.

c) For (0, 2), the equation is satisfied.

d) For (0, 2), the equation is not satisfied.

Answer 1

The ordered pair (-1, -9) is a solution to the equation, but the ordered pair (0, 2) is not a solution.

Step-by-step explanation:

To determine whether the given ordered pairs (-1, -9) and (0, 2) are solutions to the equation y = 7x - 2, we substitute the x and y values into the equation and check if they satisfy the equation.

For the ordered pair (-1, -9), substituting -1 for x and -9 for y in the equation y = 7x - 2 gives -9 = 7(-1) - 2. Simplifying the equation, we get -9 = -7 - 2, which is true. Therefore, (-1, -9) is a solution to the equation.

For the ordered pair (0, 2), substituting 0 for x and 2 for y in the equation y = 7x - 2 gives 2 = 7(0) - 2. Simplifying the equation, we get 2 = -2, which is not true. Therefore, (0, 2) is not a solution to the equation.