Special Case Solving Equations

Solve:
3x - 8 = 3(x - 4) + 1

• x = 0

• no solution

• infinitely many solutions

• x = -0.5

How MANY solutions does 3x +5 = 3(x - 4) +7 have?

• 1

• 0

• Infinite

• Cannot be determined

Solve the following equation:

3(x − 2) = 3x − 6

• x = 6

• x = −6

• infinitely many solutions

• no solutions

Solve the following equation:

10x + 3 + 3x = 5x + 1 + 8x + 2

• x = −3

• x = 3

• infinitely many solutions

• no solutions

Solve for y:
2x + 2y = 6

• y = - x + 3

• y = x + 3

• y = 2x +6

• y = - 2x + 6

5x - y = 16

• -y = 5x + 16

• y = 5x + 16

• x = 5y - 16

• y = 5x - 16

Coach Ortiz and his wife Mikala are saving up for a baby. Coach Ortiz has $500 saved up and saving $500 per month. Mikala has $1000 saved up and is saving $250 per month. After how many months will Coach Ortiz and Mikala have the same amount of money saved?

Hint: Create and Equation and solve. Using Desmos is hard to see on this one so you can solve by hand if that helps, remember get parents on one side and children on other

• 2 months

• 3 months

• 4 months

• 5 months

-4=-x+2y 

•  x-2y=4

• x-2y=-4 

• 4=x-2y 

• x+2y=4 

The sum of two numbers is -2.  The difference is -​ 12.  
Find the 2 numbers

​ ​ (a)   ​ (b)   ​

• 5

• -7

• 6

• -4

• 3

• -3

• 2

• -2

-16x=2y-10

• 8x+y=5

• -16x-2y=10

• 16x+2y=-10

• 8x-y=-5