Advanced Solving Systems

y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

• Infinitely Many Solutions
• No Solution

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)

• (-7 ,5)

• (3, 15)

• (9, 6)

-4x-2y=-12
      4x+8y=-24

• (6,-6)

• (-6,6)

• (6,6)

• (-6,-6)

What is the substitution method used for in solving a system of equations?

• To solve a system of equations

• To write a novel

• To calculate the area of a circle

• To bake a cake

In the elimination method, what operation is used to eliminate one of the variables?

• Multiplication

• Addition or subtraction

• Division

• Exponentiation

When is the substitution method most useful in solving a system of equations?

• When both equations are already solved

• When the equations are not related

• When the variables are not known

• When one of the equations can be easily solved for one variable

What are the steps involved in solving a system of equations using the elimination method?

• Identifying the variable to eliminate, multiplying the equations by appropriate constants, and adding or subtracting the equations to eliminate the variable.

• Dividing the equations by random numbers

• Ignoring one of the equations

• Solving for the variable with no elimination