Graphing & Substitution

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

What is the solution when there are no points of intersection in a system of equations?

Back

No solution.

Front

If a system of equations has no solutions, how many solutions does it have?

Back

0.

Front

What is the solution to the system of equations: y = 8x + 2 and y = -x - 7?

Back

(-1, -6).

Front

What does it mean if two lines on a graph are parallel?

Back

They have no solutions.

Front

What is the solution to the system of equations: y = 2x + 3 and y = 2x - 1?

Back

No solution.

Front

If two equations represent the same line, how many solutions do they have?

Back

Infinitely many.

Front

What is the graphical representation of a system with one solution?

Back

Two lines intersecting at a single point.

Front

How do you determine the solution of a system of equations graphically?

Back

By finding the point(s) where the lines intersect.

Front

What is the substitution method in solving systems of equations?

Back

Replacing one variable with an expression from another equation.