what is the justification for the step taken from line 2 to line 3?\n3x + 9 - 7x = x + 10 + x\n-4x + 9 = 2x…

what is the justification for the step taken from line 2 to line 3?\n3x + 9 - 7x = x + 10 + x\n-4x + 9 = 2x + 10\n-6x + 9 = 10\n-6x = 1\nx = -\\frac{1}{6}\nthe subtraction property of equality\nthe multiplication property of equality\ncombining like terms on one side of the equation\nthe distributive property

what is the justification for the step taken from line 2 to line 3?\n3x + 9 - 7x = x + 10 + x\n-4x + 9 = 2x + 10\n-6x + 9 = 10\n-6x = 1\nx = -\\frac{1}{6}\nthe subtraction property of equality\nthe multiplication property of equality\ncombining like terms on one side of the equation\nthe distributive property

Answer

Explanation:

Step1: Analyze the change from line 2 to line 3

In line 2, we have (-4x + 9=2x + 10). In line 3, it becomes (-6x + 9 = 10). The operation performed is subtracting (2x) from both sides of the equation.

Step2: Recall the subtraction property of equality

The subtraction property of equality states that if (a=b), then (a - c=b - c). Here, (a=-4x + 9), (b = 2x+10), and (c = 2x).

Answer:

the subtraction property of equality