Solving 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 elimination?

Back

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

Front

What is the graphical interpretation of a system of equations?

Back

The solutions are the points where the graphs of the equations intersect.

Front

What does it mean if two equations represent the same line?

Back

They have infinite solutions because every point on the line is a solution.

Front

What is the substitution method for solving systems of equations?

Back

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

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

How do you determine which variable to eliminate in a system of equations?

Back

Choose the variable that can be easily eliminated by adding or subtracting the equations.

Front

What is the solution to the system: 4x + 4y = 4 and 3x + 4y = 10?

Back

(-6, 7)