Q2W6 Weekly Flashcard

Front

What are the possible types of solutions for a system of equations?

Back

No solution, One solution, Infinite solutions.

Front

What does it mean if a system of equations has infinite solutions?

Back

It means that the equations represent the same line, and every point on the line is a solution.

Front

How do you determine the solution of a system of equations graphically?

Back

The solution is the point where the two lines intersect.

Front

What is the solution to the system of equations represented by the lines y = x + 1 and y = x + 1?

Back

Infinite solutions, as both lines are the same.

Front

What is the solution to the system of equations represented by the lines y = 2x + 3 and y = -x + 1?

Back

(1, 5), the point where the two lines intersect.

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution, as the lines never intersect.

Front

What is the graphical representation of the equation x + y = 2?

Back

A straight line that intersects the y-axis at (0, 2) and the x-axis at (2, 0).

Front

How can you find the solution to a system of equations algebraically?

Back

By using methods such as substitution, elimination, or graphing.

Front

What is the solution to the system of equations: 2x + 3y = 6 and x - y = 1?

Back

(3, 0).

Front

What does the term 'system of equations' refer to?

Back

A set of two or more equations with the same variables.