Jessie graphed one of the lines in a system of equations: y=3x-2 if the system has an infinite number of solutions, which statements are true? check all that apply.

1. any point in the coordinate plane is a solution because it has an infinite number of solutions.

2. point (1, 1) is a solution because it is one of the points on the line already graphed.

3. it is impossible to tell if (–1,–5) is a solution without seeing the other line graphed.

4. point (20, 58) is a solution because it results in a true statement when the point values are substituted into the equation of the line.

5. when the other line in the system is graphed, it will share all points with the line already graphed.

2, 4, and 5

Step-by-step explanation:

There are three states that a system of linear equations can be in. Intersecting, parallel, and overlapping. Intersecting results in one solution, parallel results in none, and overlapping makes all solutions that are on the line correct. The question says that there are infinite solutions, so it must be overlapping. We can immediately rule out the first one because only points that lie on the line can be solutions. Since we know that the system has all of the solutions shown, 2 has to be true. 3 is the same idea. When you plug the x value (20) into the equation, you get the y value (58) meaning that it must be true. 5 is stated above.

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