Systems of Equations Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to solve a system of equations by substitution?

Back

It involves solving one equation for one variable and substituting that expression into the other equation.

Front

What does it mean to solve a system of equations by elimination?

Back

It involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is an infinite number of solutions in a system of equations?

Back

This occurs when the equations represent the same line, meaning every point on the line is a solution.

Front

How do you identify if a system of equations has no solution?

Back

If the equations represent parallel lines, they will never intersect, indicating no solution.

Front

What is the graphical representation of a system of equations?

Back

The solutions are represented by the points where the lines intersect on a graph.

Front

What is the solution to the system of equations y = -4x + 5 and y = 3x - 16?

Back

(3, -7)

Front

What is the solution to the system of equations -4x - 4y = 0 and 4x + 4y = 0?

Back

Infinite number of solutions.

Front

What is the solution to the system of equations -4x - 2y = -12 and 4x + 8y = -24?

Back

(6, -6)

Front

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

Back

(3, 0)