Solving Linear Systems Review

Front

What is a linear system?

Back

A linear system is a collection of two or more linear equations involving the same variables.

Front

What does it mean to solve a linear system?

Back

To solve a linear system means to find the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the graphical representation of a linear equation?

Back

A linear equation is represented graphically as a straight line on a coordinate plane.

Front

What is the substitution method in solving linear systems?

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 linear systems?

Back

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

Front

How do you represent a system of equations?

Back

A system of equations can be represented in the form: 1. Ax + By = C 2. Dx + Ey = F, where A, B, C, D, E, and F are constants.

Front

What does it mean if two lines intersect at a point?

Back

If two lines intersect at a point, it means that the system of equations has a unique solution, which is the coordinates of the intersection point.

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What does it mean if two lines are parallel?

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If two lines are parallel, it means that the system of equations has no solution, as the lines never intersect.

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What does it mean if two lines coincide?

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If two lines coincide, it means that the system of equations has infinitely many solutions, as the lines are the same.

Front

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

Back

You can check your solution by substituting the values back into the original equations to see if they hold true.