Solving 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 to solve a system of equations by substitution?

Back

To solve by substitution, you solve one equation for one variable and then substitute that expression into the other equation.

Front

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

Back

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How do you find the slope of a line given two points?

Back

Front

What is the meaning of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

Front

What is the y-intercept of a linear equation?

Back

Front

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

Back

A point is a solution if it satisfies all equations in the system when substituted into them.

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What is the graphical representation of a system of equations?

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The graphical representation consists of the lines of each equation, and the solution(s) are the intersection points of these lines.

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What does it mean if two lines are parallel in a system of equations?

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If two lines are parallel, they have the same slope and will never intersect, meaning there is no solution to the system.

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What does it mean if two lines are coincident in a system of equations?

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If two lines are coincident, they lie on top of each other, meaning there are infinitely many solutions to the system.