Solving Systems by Different Methods

Solving Systems by Different Methods

System of Equations

is a set of 2 more equations of a line.

Point of Intersection

Is where to lines cross. This is the solution to a system of equations.

Solutions to a System

• 1 Solution = has a point of intersection.

• No Solution = parallel lines, they do not intersect.

• Infinite Many Solutions = lines are the same, they intersect at all points.

Picking Which Way to Solve a System.

• Graphing = they both must be in Slope-Intercept Form (y=mx + b).

• Substitution = Looking for one variable to be isolated in one equations.

• Elimination = want x and y on the same side in both equations.

Multiple Choice

What is the best way to solve this system?

y = ¹/₄ x + 2

y = ⁷/₄ x - 4

• Elimination

• Substituion

• Graphing

• Pairing

Multiple Choice

What is the best method to solve this system of equations?

5x - 4y = 11

5x + 4y = -14

• Graphing

• Substitution

• Elimination

• Connection

Multiple Choice

What is the best method for solving this system of equations?

x = -3y - 8

x - 2y = -3

• Substitution

• Elimination

• Graphing

• Dunking

Multiple Choice

What is the best method for solving this system of equations?

• Graphing

• Googling

• Elimination

• Substitution

Multiple Choice

What is the best method to solve this system of equations?

y = 2x + 1

y = 4x - 1

• Graphing

• Substitution

• Dabbing

• Elimination

Multiple Choice

What is the best method for solving this system of equations?

-2x + 6y = 16

-4x - 3y = 2

• Sleeping

• Substitution

• Elimination

• Graphing

Now...

Go and do it.