Systems of Equations

(1,2)

Use substitution to solve

(3,-2)

Use substitution to solve.

Do you shade solutions when you solve systems of equations?

no

What different types of solutions can a System of equations have?

one solution, no solution, infinitely many solutions

Y = 7x - 10 Y = -3 Solve by substitution

(1,-3)

Use the elimination method to solve 2x - y = -1 -2x - 2y = -14

(2,5)

Solve by elimination -4x + y = 2 4x - y = -2

Infinitely many solutions

(-1,-1)

Match the solution to its proper ordered pair

If I want to eliminate the x's, what should I do to the system of equations for my first step? 3x - 2y = 8 -6x + 3y = 9

Multiply the top equation by 2

Y = -2x + 2 Y = -2x - 2 If you graph this, what is your solution?

No Solution

When graphing, what is the ordered pair called where the two lines meet?

Solution

When you solve by graphing and your answer is infinitely many solutions, what kind of lines are you plotting?

The same lines on top of each other.

What is the goal when using the process of elimination?

To eliminate a variable