Select all of the equations below that are equivalent to:4=r+14Use properties of equality.Multi-select Choices:(A) 4+2=r+14(B) 16=13+r+14(C) 4+5=r+19(D) 4+4=r+18
Q. Select all of the equations below that are equivalent to:4=r+14Use properties of equality.Multi-select Choices:(A) 4+2=r+14(B) 16=13+r+14(C) 4+5=r+19(D) 4+4=r+18
Identify Equation: Identify the original equation and understand that equivalent equations will have the same value for r when solved.Original equation: 4=r+14
Check Equation (A): Check equation (A) to see if it is equivalent to the original equation.Equation (A): 4+2=r+14Simplify the left side: 6=r+14This is not equivalent to the original equation because when we subtract 14 from both sides, we do not get 4=r.
Check Equation (B): Check equation (B) to see if it is equivalent to the original equation.Equation (B): 16=13+r+14Combine like terms on the right side: 16=r+27This is not equivalent to the original equation because when we subtract 27 from both sides, we do not get 4=r.
Check Equation (C): Check equation (C) to see if it is equivalent to the original equation.Equation (C): 4+5=r+19Simplify the left side: 9=r+19This is not equivalent to the original equation because when we subtract 19 from both sides, we do not get 4=r.
Check Equation (D): Check equation (D) to see if it is equivalent to the original equation.Equation (D): 4+4=r+18Simplify the left side: 8=r+18This is not equivalent to the original equation because when we subtract 18 from both sides, we do not get 4=r.