Select all of the equations below that are equivalent to:vw=−4Use properties of equality.Multi-select Choices:(A) vw⋅−2=8(B) vw⋅25=−100(C) −16vw=48(D) vw⋅−8=32
Q. Select all of the equations below that are equivalent to:vw=−4Use properties of equality.Multi-select Choices:(A) vw⋅−2=8(B) vw⋅25=−100(C) −16vw=48(D) vw⋅−8=32
Identify equation & operation: Identify the original equation and the operation needed to check equivalency. Original equation: vw=−4. To find equivalent equations, we need to perform valid mathematical operations that maintain equality.
Check option (A): Check option (A): Multiply both sides of vw=−4 by −2. Calculation: (−4)×(−2)=8. Compare with (A): vw×−2=8.
Check option (B): Check option (B): Multiply both sides of vw=−4 by 25. Calculation: (−4)×25=−100. Compare with (B): vw×25=−100.
Check option (C): Check option (C): Multiply both sides of vw=−4 by −4, then multiply the result by 4. Calculation: (−4)×(−4)=16, 16×4=64. Compare with (C): −16vw=48.