Solving Systems by Graphing and Substitution

Front

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

Back

Intersect

Front

In the equations 3x + 2y = 10 and x - 5y = 18, which variable should you isolate first?

Back

The x in the second equation

Front

Find the intersection of the lines y = 4x - 2 and y = -x + 3.

Back

(1, 2)

Front

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

Back

overlap each other

Front

If a system of equations has no solution, what does the graph look like?

Back

parallel lines

Front

What is the graphical representation of a system of equations?

Back

A set of lines on a coordinate plane.

Front

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

Back

The system has a unique solution.

Front

What does it mean if two lines are parallel?

Back

The system has no solution.

Front

What does it mean if two lines overlap?

Back

The system has infinitely many solutions.

Front

How do you solve a system of equations by substitution?

Back

Isolate one variable and substitute it into the other equation.