PLEASE HELP, WILL MARK BRAINLIEST - Jessie graphed one of the lines in a system of equations: y=3x-2. If the system has an infin
ite 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.
☐ 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.
2 answers:
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:
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.
The point (-1,-5) is a solution. So, option 3 is incorrect.
Put x=20 in the given equation.
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.
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