Select all of the equations below that are equivalent to: 12 − g = 19 Use properties of equality. Multi-select Choices: (A)12 − g − 6 = 13 (B)12 − g − 2 = 17 (C)12 − g − 7 = 12 (D)12 − g − 17 = 2

Question

Select all of the equations below that are equivalent to:  12 − g = 19 Use properties of equality.    Multi-select Choices: (A)12  −  g  −  6 = 13 (B)12  −  g  −  2 = 17 (C)12  −  g  −  7 = 12 (D)12  −  g  −  17 = 2

Bytelearn · Accepted Answer

Simplify Original Equation: To determine if the equations are equivalent, we can simplify the original equation and compare it to each choice. The original equation is 12 − g = 19. We can isolate g by subtracting 12 from both sides. Calculation: 12 − g − 12 = 19 − 12 g = 7Compare with Choice (A): Now let's compare this result with each choice by performing the same operation (subtracting the same value from both sides of the original equation) and checking if we get an equivalent statement. For choice (A), we subtract 6 from both sides of the original equation: 12 − g − 6 = 19 − 6 6 − g = 13 This is not equivalent to g = 7.Compare with Choice (B): For choice (B), we subtract 2 from both sides of the original equation: 12 − g − 2 = 19 − 2 10 − g = 17 This is not equivalent to g = 7.Compare with Choice (C): For choice (C), we subtract 7 from both sides of the original equation: 12 − g − 7 = 19 − 7 5 − g = 12 This is not equivalent to g = 7.Compare with Choice (D): For choice (D), we subtract 17 from both sides of the original equation: 12 − g − 17 = 19 − 17 −5 − g = 2 This is not equivalent to g = 7.

Select all of the equations below that are equivalent to: $\newline$ $12 - g = 19$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $12 - g - 6 = 13$ $\newline$ (B) $12 - g - 2 = 17$ $\newline$ (C) $12 - g - 7 = 12$ $\newline$ (D) $12 - g - 17 = 2$

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