PLEASE HELP, WILL MARK BRAINLIEST - 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 (Not just one answer)

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

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

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

☐ 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.

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

PLEASE HELP WILL MARK BRAINLIEST Jessie graphed one of the lines in a system of equations y3x2 If the system has an infinite number of solutions which statement class=

Respuesta :

B, D, and E are all correct. The line is coinciding.

Answer:

The correct options are 2, 4, 5.

Step-by-step explanation:

It is given that the system of equations has an infinite number of solutions. It is  possible when both equations represents the same line.

One of the lines in a system of equations:

[tex]y=3x-2[/tex]

It means another line has same equation.

All the points lie on the line are the solution of the system of equations. So, option 1 is incorrect.

From the given graph it is clear that the point (1,1) lies on the line already graphed. So, the point (1, 1) is a solution and option 2 is correct.

Put x=-1 in the given equation.

[tex]y=3(-1)-2=-5[/tex]

The point (-1,-5) is a solution. So, option 3 is incorrect.

Put x=20 in the given equation.

[tex]y=3(20)-2=58[/tex]

The point (20,-58) is a solution. So, option 4 is correct.

Since both lines has same equation, therefore when the other line in the system is graphed, it will share all points with the line already graphed.  Option 5 is correct.