Select all of the equations below that are equivalent to:15=w+xUse properties of equality.Multi-select Choices:(A) 17=w+x+2(B) 20=5+w+x(C) 19=4+w+x(D) 18=3+w+x
Q. Select all of the equations below that are equivalent to:15=w+xUse properties of equality.Multi-select Choices:(A) 17=w+x+2(B) 20=5+w+x(C) 19=4+w+x(D) 18=3+w+x
Compare Choices: To determine which equations are equivalent to 15=w+x, we need to compare each choice to see if they can be simplified or rearranged to match the original equation.
Check Choice (A): Let's start with choice (A) 17=w+x+2. To check if this is equivalent to 15=w+x, we need to see if subtracting 2 from both sides of (A) gives us the original equation.17−2=w+x15=w+xThis shows that (A) is equivalent to the original equation.
Check Choice (B): Now let's check choice (B) 20=5+w+x. To check if this is equivalent to 15=w+x, we need to see if subtracting 5 from both sides of (B) gives us the original equation.20−5=w+x15=w+xThis shows that (B) is equivalent to the original equation.
Check Choice (C): Next, we look at choice (C) 19=4+w+x. To check if this is equivalent to 15=w+x, we need to see if subtracting 4 from both sides of (C) gives us the original equation.19−4=w+x15=w+xThis shows that (C) is equivalent to the original equation.
Check Choice (D): Finally, we examine choice (D) 18=3+w+x. To check if this is equivalent to 15=w+x, we need to see if subtracting 3 from both sides of (D) gives us the original equation.18−3=w+x15=w+xThis shows that (D) is equivalent to the original equation.