Systems of Equations MCAS Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

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

Front

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

Back

Substitute the x and y values of the point into each equation. If both equations are true, the point is a solution.

Front

What is the graphical representation of a system of equations?

Back

The graphs of the equations plotted on the same coordinate plane.

Front

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

Back

The system of equations has a unique solution, which is the point of intersection.

Front

What does it mean if two lines are parallel?

Back

The system of equations has no solution, as the lines never intersect.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

What is the value of x in the system of equations: 2x + 3y = 6 and x - y = 1?

Back

x = 3.

Front

What is the value of y in the system of equations: 2x + 3y = 6 and x - y = 1?

Back

y = 0.