Question

Roy and Sam start solving the equation as follows.

Answer 1

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

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

According to the addition property of equality $a=b$ and $a+c=b+c$ are equivalent equations.

Use addition property of equality, add 3x on both the sides.

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

$4=8x-6$

Therefore Sam's work is incorrect because he make calculation mistake.

According to the subtraction property of equality $a=b$ and $a-c=b-c$ are equivalent equations.

Use subtraction property of equality, subtract 5x from both the sides.

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

$-8x+4=-6$

Therefore Roy's work is correct because he used subtraction property.

Option D is correct.