Select all of the equations below that are equivalent to: –91y = 70 Use properties of equality. Multi-select Choices: (A)13y = 70/–7 (B)–7y = 70/13 (C)7y = 70/–13 (D)–13y = 70/7

Question

Select all of the equations below that are equivalent to:  –91y = 70 Use properties of equality.    Multi-select Choices: (A)13y = 70/–7 (B)–7y = 70/13 (C)7y = 70/–13 (D)–13y = 70/7

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Identify Equations: We need to identify which equations are equivalent to –91y = 70 by using properties of equality. We will check each option by transforming the original equation and comparing it to the given choices.Check Option (A): Let's start with option (A) 13y = 70/–7. To check if this is equivalent, we can simplify the right side of the equation by dividing 70 by –7. 70/–7 = –10 So, the equation becomes 13y = –10. This is not equivalent to –91y = 70 because the coefficients of y and the constants do not match.Check Option (B): Now let's check option (B) –7y = 70/13. We simplify the right side of the equation by dividing 70 by 13. 70/13 does not simplify to an integer, and the coefficient of y in the original equation is –91, not –7. Therefore, this equation is not equivalent to –91y = 70.Check Option (C): Next, we check option (C) 7y = 70/–13. We simplify the right side of the equation by dividing 70 by –13. 70/–13 = –70/13 The equation becomes 7y = –70/13. This is not equivalent to –91y = 70 because the coefficients of y are not the same (7 vs. –91).Check Option (D): Finally, we check option (D) –13y = 70/7. We simplify the right side of the equation by dividing 70 by 7. 70/7 = 10 The equation becomes –13y = 10. To see if this is equivalent to –91y = 70, we can multiply both sides of –13y = 10 by 7 to see if we get the original equation. –13y * 7 = 10 * 7 –91y = 70 This matches the original equation, so option (D) is equivalent to –91y = 70.

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