Select all of the equations below that are equivalent to:wx=−84Use properties of equality.Multi-select Choices:(A) −3wx=28(B) −2wx=42(C) 21wx=−4(D) 7wx=−12
Q. Select all of the equations below that are equivalent to:wx=−84Use properties of equality.Multi-select Choices:(A) −3wx=28(B) −2wx=42(C) 21wx=−4(D) 7wx=−12
Identify Equation & Operation: Identify the original equation and the operation needed to find equivalent equations.The original equation is wx=−84. To find equivalent equations, we can divide both sides of the equation by the same non-zero number.
Check Option (A): Check if option (A) is equivalent to the original equation.Divide the original equation by –3: –3wx=–3–84. Calculate the right side: –3–84=28. So, –3wx=28 is equivalent to wx=–84.
Check Option (B): Check if option (B) is equivalent to the original equation.Divide the original equation by –2: –2wx=–2–84. Calculate the right side: –84/–2=42. So, –2wx=42 is equivalent to wx=–84.
Check Option (C): Check if option (C) is equivalent to the original equation.Divide the original equation by 21: 21wx=21−84. Calculate the right side: −2184=−4. So, 21wx=−4 is equivalent to wx=−84.
Check Option (D): Check if option (D) is equivalent to the original equation.Divide the original equation by 7: wx/7=−84/7. Calculate the right side: −84/7=−12. So, wx/7=−12 is equivalent to wx=−84.