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.

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.

To verify if Carrie's statement is true, you can follow these two methods:

1. Substitution Method:
- Replace the x and y values in the equation y = 3x - 5 with the given values (4,7).
- Substituting x = 4 and y = 7 in the equation, you get:
7 = 3(4) - 5
Simplifying, you have:
7 = 12 - 5
7 = 7
- Since the equation holds true, the point (4,7) is a solution to the equation y = 3x - 5.

2. Graphical Method:
- Plot the equation y = 3x - 5 on a coordinate plane.
- Locate the point (4,7) on the same graph.
- If the point (4,7) lies on the curve of the line, then it is indeed a solution to the equation. In this case, if (4,7) lies on the line, Carrie's statement would be true.

Using either or both of these methods, you can verify if the point (4,7) satisfies the equation y = 3x - 5 as Carrie claims.

To check if the solution (4,7) is valid for the equation y = 3x - 5, we can use two methods. Here are two ways to check the statement:

1. Substitution Method:
- Replace the variables x and y in the equation with their respective values from the given solution.
- Plug in x = 4 and y = 7 into the equation.
- y = 3x - 5 => 7 = 3(4) - 5 => 7 = 12 - 5 => 7 = 7
- If both sides of the equation are equal, then the solution is valid.

2. Graphical Method:
- Plot the equation y = 3x - 5 on a graph.
- Determine the point (4,7) on the graph.
- If the point (4,7) lies on the line represented by the equation, then it is a valid solution.
- By graphing the equation, you can visually verify if the given solution lies on the line.

Using the first method of substitution, we found that when x = 4 and y = 7, the equation is satisfied, as both sides of the equation are equal. Therefore, the statement by Carrie that (4,7) is a solution to y = 3x - 5 is indeed true.