Solution to Linear Equations

Which property justifies the work shown?

• Multiplication Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Multiplicative Inverse Property

Which property justifies the work in solving this equation?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Sally correctly solved an equation and got w = 15 as her answer. What type of solution does this equation have?

• One Solution

• No Solution

• Infinite Solutions

Step 1) GIVEN

Step 2) ​ (a)  

Step 3) ​ COMBINE LIKE TERMS

Step 4) SUBTRACTION PROPERTY

Step 5) ​ (b)  

Step 6) ​ DIVISION PROPERTY

Step 7: SIMPLIFY

• DISTRIBUTIVE PROPERTY

• COMBINE LIKE TERMS

• MULTIPLICATION PROPERTY

• ADDITION PROPERTY

• SUBTRACTION PROPERTY

• DIVISION PROPERTY

The solution of equation x-2y = 4 is:

• (0,2)

• (2,0)

• (4,0)

• (1,1

Solve for y:
2x + 2y = 6

• y = - x + 3

• y = x + 3

• y = 2x +6

• y = - 2x + 6

Which of the following is equivalent to 4x - 3y = 15?

3x + 2y = -2

5x - y = 16

• -y = 5x + 16

• y = 5x + 16

• x = 5y - 16

• y = 5x - 16

The linear equation 3x - 5y = 15 has

• a unique solution

• two solutions

• infinitely many solutions

• no solution