Question

Find four solutions of the equation. Write the solutions as ordered pairs:

Equation: -3x - y = 2
a. {(-3,4), (5,-17), (8,-29), (-4,10)}
b. {(0,7), (5,-17), (8,4), (-3,10)}
c. (-3,7), (5,-17), (8,-26), (-4,10)
d. {(-3,7), (-4,-17), (8,-26), (5,10)}

Answer 1

To find four solutions to the equation -3x - y = 2, substitute different values for x and solve for y to find the corresponding ordered pairs. Verify which given set of pairs satisfies the equation through substitution.

Step-by-step explanation:

To find four solutions of the equation -3x - y = 2, you would substitute different values of x into the equation and solve for y. Here is the process for finding one solution:

1. Choose a value for x. For example, let's use x = 1.
2. Substitute x = 1 into the equation: -3(1) - y = 2.
3. Simplify and solve for y: -3 - y = 2, which gives y = -5.
4. The ordered pair for x = 1 is then (1, -5).

Repeat this process with different values of x to get more solutions. Comparing the sets of ordered pairs given in the options, we can determine the correct answer by substitution into the original equation and verifying which pairs satisfy it.