Question

3. Consider the linear equation 2y - 3x = 5.
a. The pair (-1, 1) is a solution to the equation. Find another (x, y) pair that is
a solution to the equation.
b. Are (-1, 1) and (4, 1) solutions to the inequality 2y – 3x < 5? Explain how
you know
c. Explain how to use the answers to the previous questions to graph the
solution set to the inequality 2y - 3x < 5.
-

Answer 1

Answer:

Step-by-step explanation:

a.

2y - 3x = 5

2(-2) - 3x = 5

-4 - 3x = 5

-3x = 9

x = -3

(-3,-2) is another solution

b.

(-1,1)

2y - 3x = 5

2(1) - 3(-1) = 5

2 + 3 = 5

5 = 5

true, the point is a solution to the equation because the equation is true after substituting x and y with the point (-1,1)

(4,1)

2y - 3x = 5

2(1) - 3(4) = 5

2 - 12 = 5

-10 = 5

not true, the point is not a solution to the equation because the equation is not true after substituting x and y with the point (4,1)

c. You can use the points from the given (-1,1) and (-3,-2) to form a line. You then shade whichever half solves the solution using points on the graph.