Systems of Equations REVIEW

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

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What does it mean for a system of equations to be consistent?

Back

A consistent system of equations has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system of equations has no solutions.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection point(s) of the lines represented by the equations.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and 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.

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How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations. If both equations are true, the point is a solution.

Front

What is the solution to the system: y = -2 and 4x - 3y = 18?

Back

(3, -2)

Front

What is the solution to the system: -3x - 4y = 2 and 3x + 3y = -3?

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(-2, 1)

Front

What is the solution to the system: -5x + y = -3 and 3x - 8y = 24?

Back

(0, -3)