Systems of Linear Equations Solve by Graph and Substitution

Lines who's graphs intersect infinitely many times

• System of equations

• Coincident Lines

• Parallel Lines

• Perpendicular Lines

How many solutions does the following graph have?

• One solution

• Two solutions

• No solutions

• Infinitely many solutions

How many solutions does the following graph have?

• One solution

• Two solutions

• No solutions

• Infinitely many solutions

How many solutions does the following graph have?

• One solution

• Two solutions

• No solutions

• Infinitely many solutions

What program can you use to quickly check and/or solve a system of linear equations?

• delta math

• desmos

• math way

• photo math

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing