Select all of the equations below that are equivalent to:wx=−30Use properties of equality.Multi-select Choices:(A) wx⋅−2=64(B) wx⋅−3=90(C) 3wx=−90(D) wx⋅−2=60
Q. Select all of the equations below that are equivalent to:wx=−30Use properties of equality.Multi-select Choices:(A) wx⋅−2=64(B) wx⋅−3=90(C) 3wx=−90(D) wx⋅−2=60
Identify Equation: Identify the original equation and understand the task.The original equation is wx=−30. We need to find which of the given choices are equivalent to this equation by using properties of equality.
Check Choice (A): Analyze choice (A) wx⋅−2=64. To check if this is equivalent to wx=−30, we can divide both sides of the equation in choice (A) by −2 to see if we get wx=−30. (wx⋅−2)/−2=64/−2wx=−32 This is not equivalent to wx=−30.
Check Choice (B): Analyze choice (B) wx⋅−3=90. To check if this is equivalent to wx=−30, we can divide both sides of the equation in choice (B) by −3 to see if we get wx=−30. (wx⋅−3)/−3=90/−3wx=−30 This is equivalent to wx=−30.
Check Choice (C): Analyze choice (C) 3wx=−90. To check if this is equivalent to wx=−30, we can divide both sides of the equation in choice (C) by 3 to see if we get wx=−30. (3wx)/3=−90/3wx=−30 This is equivalent to wx=−30.
Check Choice (D): Analyze choice (D) wx⋅−2=60. To check if this is equivalent to wx=−30, we can divide both sides of the equation in choice (D) by −2 to see if we get wx=−30. (wx⋅−2)/−2=60/−2wx=−30 This is equivalent to wx=−30.