Solving Systems with Substitution Review

If the solution is infinitely many the lines will ________?

• intersect at exactly one point

• be parallel

• overlap each other

• never exist

The ordered pair that satisfies BOTH equations in the system is called the _____________________

• system of equations

• function

• graph

• solution 

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

How many solutions does the system below have?

y = 5x -6

y = 5x -6

Hint: what can you tell from looking at the slope and y-intercept?

• no solution

• exactly one

• infinitely many

Does the system have one, none or infinite solutions?

y = 2x -11

y = 2x +5

Hint: What can you tell from looking at the slope and y-intercept?

• One

• None

• Infinitely many solutions

Is the ordered pair (3,-3) a solution to the system below?

• Yes, it makes both equations true.

• No, it does not make both equations true.

• IMS

• No Solution

Give the solution to the system

• (3,1)

• (1,3)

• (-1,3)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

If a system of equations has infinite solutions, what does the graph look like?

• intersecting lines

• parallel lines

• same lines

Put the steps for solving by SUBSTITUTION in order:

• Solve one equation for x or y

• Plug the resulting expression into the other equation

• Solve for the first variable

• Plug that number into the other equation

• Solve for the second variable