Question

Look at the given equation. Roy and Sam start solving the equation as follows. Which student's work is correct so far and what property did he use? A. Sam's work is correct so far. He used the subtraction property of equality. B. Sam's work is correct so far. He used the addition property of equality. C. Roy's work is correct so far. He used the subtraction property of equality. D. Roy's work is correct so far. He used the addition property of equality.

Answer 1

C. Roy's work is correct so far. He used the subtraction property of equality.

Step-by-step explanation:

Given the equation :

-3x + 4 = 5x - 6

The addition property of inequality adds an eqail value to both the right and left hand side of the equation in other to eliminate a certain value.

x = y

x + z = y + z

The subtraction property of inequality subtracts an equal value to both the right and left hand side of the equation in other to eliminate a certain value.

x = y

x - z = y - z

Roy's work:

-3x + 4 = 5x - 6

-3x + 4 - 5x = 5x - 6 - 5x

-8x + 4 = - 6

Using addition property ;

Sam's work should look like

-3x + 4 = 5x - 6

-3x + 4 + 3x = 5x - 6 + 3x

4 = 8x - 6

Hence, Sam's work is incorrect