Question

carrie says that one solution to y=3x-5 is (4,7).Describe two ways to check if her statement is true.use at least one way to check her answer.

Answer 1

Two ways:
(1) Plot y = 3x - 5 and check if it passes through the point (4,7).
(2) Substitute the x-coordinate of the point given (which is 4) to the equation, and solve for y. If the resulting y is equal to 7, it is a solution to the equation.

Let's do #2 to check:
y = 3x - 5
y = 3*4 - 5
y = 12 - 5
y = 7
therefore, it is indeed a solution to the equation.