Given, 4x + 7 = 6x + 17, what property of equality would you use to solve this problem? How many times?

Step-by-step explanation:

The addition property of equality is used to separate constant and variable terms. It is often used in two steps, one for variable terms and one for constant terms:

  4x +7 = 6x +17 . . . . given

  7 = 2x +17 . . . . . . . . add -4x to both sides (one use of addition property)

  -10 = 2x . . . . . . . . . . add -17 to both sides (another use of addition prop.)

  -5 = x . . . . . . . . . . . multiply both sides by 1/2 (multiplication property)

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Alternate Solution

The addition property can be used only once by doing both additions at the same time:

  4x +7 -(4x+17) = 6x +17 -(4x +17) . . . . use the addition property once

  -10 = 2x . . . . . simplify the above

  -5 = x . . . . . . . use the multiplication property of equality once

So, the addition property of equality may be used once or twice, and the multiplication property of equality is used once.

answer is 67%

step-by-step explanation:

step-by-step explanation: