Solving Systems by Graphing and Substitution

Front

What is the solution to the system of equations y = 4x - 2 and y = -x + 3?

Back

(1, 2)

Front

How many solutions does the system of equations y = 2x + 1 and y = 2x - 3 have?

Back

No solution

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

Front

What is the solution to the system of equations -5x - 4y = -9 and y = 6?

Back

(-3, 6)

Front

If the solution is infinitely many, the lines will ________?

Back

overlap each other

Front

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

Back

They have no solutions.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection point(s) of the lines.

Front

What is the substitution method in solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel.