Systems of Equations Quiz Review- 5.1 - 5.2

Solving Systems of Linear Equations: Substitution1

100

If we were to do substitution and have a graph of the same system of equations would we get the same solution?

Yes.

Every equation graphs a specific line so no matter how you solve, you get the same solution!

(Graphs are definitely easier, but we don't always have graphed systems!)

200

What is the first step when solving a system of linear equations using the SUBSTITUTION method?

Isolate the variable

300

What is your new (one) equation after performing substitution? 

y=2x

3x+y=20

3x+(2x)=20 or

5x=20

400

How would you isolate x in this equation?

6y+x=20

subtract 6x from both sides to get:

x=20-6x

500

Use the substitution method to solve the system of linear equations:

y=2x

3x+y=20

Solution: (4,8)

Solving Systems of Linear Equations: Substitution2

100

Solve the systems of equations using substitution:

y=3x-10

x=2

(2,-4)

200

Solve the systems of equations using substitution:

y=2x-10

y=4x+8

(-9,-28)

300

Solve the systems of equations using substitution:

y = -2x - 9

3x -6y = 9

(-3, -3)

400

Solve the systems of equations using substitution:

2x - y = 6

x = y + 5

(1, -4)

500

Use the Elimination method to solve the system of linear equations:

−8x − 10y = 24

6x + 5y = 2

(7,-8)