Select all of the equations below that are equivalent to: 9 = n + –3 Use properties of equality. Multi-select Choices: (A)64 = (n + –3) · 8 (B)–77 = –7(n + –3) (C)90 = (n + –3) · 10 (D)63 = (n + –3) · 7

Question

Select all of the equations below that are equivalent to:  9 = n + –3 Use properties of equality.    Multi-select Choices: (A)64 = (n  +  –3)  ·  8 (B)–77 = –7(n  +  –3) (C)90 = (n  +  –3)  ·  10 (D)63 = (n  +  –3)  ·  7

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Understand Equation: Understand the original equation. The original equation is 9 = n + (–3). To find equivalent equations, we can perform the same operation on both sides of the equation without changing its meaning.Check Equation (A): Check equation (A) 64 = (n + (–3)) · 8. Multiply the right side of the original equation by 8: (n + (–3)) · 8 = 9 · 8. Calculate 9 · 8 = 72. Check if 72 equals 64.Equation (A) Comparison: Since 72 does not equal 64, equation (A) is not equivalent to the original equation.Check Equation (B): Check equation (B) –77 = –7(n + (–3)). Multiply the right side of the original equation by –7: –7(n + (–3)) = 9 · (–7). Calculate 9 · (–7) = –63. Check if –63 equals –77.Equation (B) Comparison: Since –63 does not equal –77, equation (B) is not equivalent to the original equation.Check Equation (C): Check equation (C) 90 = (n + (–3)) · 10. Multiply the right side of the original equation by 10: (n + (–3)) · 10 = 9 · 10. Calculate 9 · 10 = 90. Check if 90 equals 90.Equation (C) Comparison: Since 90 equals 90, equation (C) is equivalent to the original equation.Check Equation (D): Check equation (D) 63 = (n + (–3)) · 7. Multiply the right side of the original equation by 7: (n + (–3)) · 7 = 9 · 7. Calculate 9 · 7 = 63. Check if 63 equals 63.Equation (D) Comparison: Since 63 equals 63, equation (D) is equivalent to the original equation.

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