Solving Linear Equations Using Algebra

What is the solution to the system of equations?

• (3, 4)

• (-3, -4)

• (-4, -3)

• (4, 3)

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44

• 4x + 2y = 15
  x + y = 44

• x = 2y + 44
  4x = y + 15

• 2x - 4y = 44
  x - y = 15

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a solution to a system that results in one x value and one y value that will satisfy both equations 

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

x = x

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

How many solutions are there in the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

What is the solution to the equation r + 2 = 13?

• r = -11

• r = 11

• r = 15

• r = 26

Which of the following is a linear equation?

• 3x + 2y = 10

• x^2 + y^2 = 25

• 2x - 3 = 0

• y = 3x + 5