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Select all of the equations below that are equivalent to:\newline12=rs12 = r - s\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) 18=8+rs18 = 8 + r - s\newline(B) 15=rs+215 = r - s + 2\newline(C) 18=rs+618 = r - s + 6\newline(D) 18=rs+718 = r - s + 7

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Q. Select all of the equations below that are equivalent to:\newline12=rs12 = r - s\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) 18=8+rs18 = 8 + r - s\newline(B) 15=rs+215 = r - s + 2\newline(C) 18=rs+618 = r - s + 6\newline(D) 18=rs+718 = r - s + 7
  1. Compare and Transform: To determine which equations are equivalent to 12=rs12 = r - s, we need to compare each choice with the original equation and see if they can be transformed into the original equation by using properties of equality, such as addition or subtraction.
  2. Check Choice (A): Let's start with choice (A) 18=8+rs18 = 8 + r - s. To check if it's equivalent, we can subtract 88 from both sides to see if we get the original equation.\newline188=8+rs818 - 8 = 8 + r - s - 8\newline10=rs10 = r - s\newlineThis is not equivalent to 12=rs12 = r - s.
  3. Check Choice (B): Now let's check choice (B) 15=rs+215 = r - s + 2. To check if it's equivalent, we can subtract 22 from both sides to see if we get the original equation.\newline152=rs+2215 - 2 = r - s + 2 - 2\newline13=rs13 = r - s\newlineThis is not equivalent to 12=rs12 = r - s.
  4. Check Choice (C): Next, let's check choice (C) 18=rs+618 = r - s + 6. To check if it's equivalent, we can subtract 66 from both sides to see if we get the original equation.\newline186=rs+6618 - 6 = r - s + 6 - 6\newline12=rs12 = r - s\newlineThis is equivalent to 12=rs12 = r - s.
  5. Check Choice (D): Finally, let's check choice (D) 18=rs+718 = r - s + 7. To check if it's equivalent, we can subtract 77 from both sides to see if we get the original equation.\newline187=rs+7718 - 7 = r - s + 7 - 7\newline11=rs11 = r - s\newlineThis is not equivalent to 12=rs12 = r - s.

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