Systems of Equations - word problems

Front

What is a system of equations?

Back

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

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

Back

It means the equations represent parallel lines that never intersect.

Front

What is the graphical representation of intersecting lines in a system of equations?

Back

The lines cross at a point, indicating a unique solution.

Front

How do you represent a word problem as a system of equations?

Back

Identify variables for unknowns, translate the problem into equations based on relationships described.

Front

What is the substitution method 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 the elimination method 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

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

Back

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

Front

How can you check if your solution to a system of equations is correct?

Back

Substitute the solution back into the original equations to see if they hold true.

Front

What is a word problem involving a system of equations?

Back

A real-life scenario that can be modeled with equations to find unknown values.

Front

What is the first step in solving a word problem with a system of equations?

Back

Read the problem carefully and identify the variables and relationships.