Solving Systems of Equations Using Different Methods

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing

-4x - 6y = 6
4x + 6y = -4

• no solution

• (2,0)

• (-4,0)

• (0,0)

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE

• FALSE

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

Which method would be second BEST to solve the systems of equations?

• Substitution Method

• Elimination Method

• Graphing Method

Systems of Equations

Match the following:

• Finding the solution of a system by where they intersect on a graph

• Graphing

• Finding how many solutions there are just by looking at the equations in y=mx+b

• Inspection

• any ordered pair that makes all equations in the system true

• Solution of a system of linear equations

• Finding the solution of by replacing a variable in one equation for what the variable equals

• System of linear equations

• two or more linear equations that use the same variables

• Substitution

Find the exact real solutions to the system

• no real solutions

• (0, 5)

• (-10, 11)

• (5, 0)

Find the solution(s) to the system.

• (0,-3)(1,-2)

• (0,-3)

• (-2,0)(2,0)

• No solution

Match the following:

• two or more linear equations that use the same variables

• Substitution

• Finding how many solutions there are just by looking at the equations in y=mx+b

• System of linear equations

• Finding the solution of by replacing a variable in one equation for what the variable equals

• Solution of a system of linear equations

• any ordered pair that makes all equations in the system true

• Inspection

• Finding the solution of a system by where they intersect on a graph

• Graphing

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions