Solving a System of Equations Transitively

​Learning Target

Today I am learning about solving systems of Equations Algebraically.

Success Criteria

I know that I am successful(proficient) when I can: 

• Solve a System of Equations using the Transitive Method. 

• Determine the type of Solution by examination of the system. 

y = 6x + 10

y = 4x + 6

Step 1: 6x + 10 = 4x + 6

Set the two equations equal to each other.

Step 1:

6x + 10 = 4x + 6

-4x -4x

2x + 10 = 6

-10 = -10

2x = -4

2 2

x = -2

Solve for x.

​Step 2:

y = 6x + 10

y = 4x + 6

y = 6(-2) + 10

y = -12 + 10

y = -2

Place the value for x in one of the original equations and solve for y.

Step 3:

Solution:

( -2, -2)

Record your solution to the system as an ordered Pair.

Step 4: