Mathematics High School

which correctly explains the number of solutions of the following system of linear equations? -3x + 3y = 12 y = x + 4

A. The Graphs of the equations are parallel lines because they have the same slope but different y-intercepts. The system has no solution
B. The graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. The system has exactly one solution
C. The graphs of the equations are lines that intersect at one point because the equations have the same slope and same y-intercept. The system has exactly one solution.
D. The graphs of the equations are the same line because the equations have the same slope and same y-intercept. The system has exactly Infinitely many solutions.

Please explain how you got the answer because I need to learn it.

Answers

Answer 1
I think a but not sure sorry
Answer 2

The system has an infinite number of solutions because the equations have the same slope and y-intercept, and the graph of the equations is the same line.

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The system of equations is given in the question, as follows:

-3x + 3y = 12

y = x + 4

When all the given equations are drawn in the graph, then we get the Infinitely many solutions ordered pairs in the solution set of the given system.

Here, the graph of the equations is the same line because the equations have the same slope and the same y-intercept. The system has exactly Infinitely many solutions.

Therefore, the correct answer would be an option (D).

Learn more about the equation here:

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Which Correctly Explains The Number Of Solutions Of The Following System Of Linear Equations? -3x + 3y

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Step-by-step explanation:

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