Algebra 2: Solving Systems of Linear Equations

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

How do you solve a system of equations using graphing?

Back

To solve using graphing, plot each equation on the same graph and identify the point(s) where they intersect.

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.

Front

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

Back

No solution means the lines represented by the equations are parallel and never intersect.

Front

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

Back

Infinitely many solutions occur when the equations represent the same line, meaning every point on the line is a solution.

Front

How can you determine the number of solutions in a system of equations?

Back

You can determine the number of solutions by analyzing the slopes and y-intercepts of the lines represented by the equations.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the intersection point of two lines given by equations?

Back

To find the intersection point, solve the system of equations simultaneously using any method (graphing, substitution, or elimination).

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Back

The graph is a straight line with a slope of 4 and a y-intercept at -1.