Solving Systems Using Elimination and Substitution

Solve the System of Equations by Substitution: 4x + 6y = 16 and x = -2

• (-2, 1)

• (-2, 4)

• (-2, 2)

Solve for x and y
5x + 3y = 7
y = 4

• (4,1)
• (4,-1)
• (1,4)
• (-1,4)

Solve the system by substitution. 
-2x - 2y = 16
y = -8

• (0, -8)
• (-8, 0)
• (-16, -8)
• (-16, -8)

Solve the system of equations:
y=2x
x + y = 9

• (6, 3)
• (3, 6)
• (-3, -6)
• no solution

Substitution

• (3,4)

• (4,3)

• (-3,-4)

• (-4,-3)

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

• you cannot solve this using eliminiation

• cross out the 2x and 3x

• cross out the 2y and -2y

• change to slope intercept form and graph

Method of solving a system in which two equations are added together in a manner that will eliminate one of the two variables.

• Substitution method
• Elimination Method
• Independent
• Dependent

Two lines cross at a point called an..

• Roads
• Intersection
• Solution
• Independent

An equation that when graphed will form a line.

• Linear equation
• Quadratic equation
• Regression line
• Exponential equation

Two lines that are co-planar and never intersect are called...

• perpendicular
• dependent
• independent
• parallel