Substitution/Elimination Method

Front

What is the Substitution Method in solving systems of equations?

Back

The Substitution Method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the Elimination Method in solving systems of equations?

Back

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

Front

When is it best to use the Substitution Method?

Back

The Substitution Method is best used when one equation is already solved for one variable or can be easily manipulated to do so.

Front

When is it best to use the Elimination Method?

Back

The Elimination Method is best used when the coefficients of one variable are the same or can be easily made the same.

Front

Solve the system using Substitution: y = 2x + 1, 3x - 4y = -2

Back

(1, 3)

Front

Solve the system using Elimination: 3x + y = 19, 2x - y = 6

Back

(7, -2)

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What is the first step in solving by substitution?

Back

Identify one equation to solve for one variable.

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

Back

It means the lines represented by the equations are parallel and never intersect.

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

Back

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

Front

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

Back

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