Solve Systems of Linear Equations by Substitution and Elmination

Front

What is a system of linear equations?

Back

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

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is substitution in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is elimination in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

How do you check the solution of a system of equations?

Back

Substitute the solution back into the original equations to verify if both equations are satisfied.

Front

What is the graphical interpretation of a system of linear equations?

Back

The solution is the point where the graphs of the equations intersect.

Front

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

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The lines representing the equations are parallel and never intersect.

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

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The equations represent the same line, meaning every point on the line is a solution.

Front

Solve by substitution: y = 2x + 3, y = -x + 1. What is the solution?

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