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 variable.

Front

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

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

How do you determine if a system of equations has infinitely many solutions?

Back

If the two equations represent the same line, they have infinitely many solutions.

Front

What is the graphical representation of a system of equations?

Back

It is the point(s) where the lines of the equations intersect on a coordinate plane.

Front

Solve the system of equations using elimination: 2x + 3y = 6 and 4x + 6y = 12.

Back

Infinitely many solutions.

Front

Solve the system of equations using substitution: y = 2x + 3 and y = -x + 1.

Back

(2, 7)