Solving Systems

Front

What is the solution to a system of equations?

Back

Any ordered pair that makes both equations true.

Front

What methods can be used to solve systems of equations?

Back

Graphing, substitution, and elimination.

Front

Write the equation of the line with a slope of -3/2 and a y-intercept of 4.

Back

y = -3/2x + 4

Front

Solve the system by elimination: -2x + 6y = 16 and -4x - 3y = 2.

Back

(-2, 2)

Front

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

Back

The system of equations has one unique solution.

Front

What does it mean if two lines are parallel?

Back

The system of equations has no solution.

Front

What does it mean if two lines coincide?

Back

The system of equations has infinitely many solutions.

Front

How do you check if an ordered pair is a solution to a system of equations?

Back

Substitute the ordered pair into both equations to see if they are true.

Front

What is the substitution method in solving systems of equations?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

Add or subtract equations to eliminate one variable, making it easier to solve for the other.