Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select all of the equations below that are equivalent to:\newline15=w+x15 = w + x\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) 17=w+x+217 = w + x + 2\newline(B) 20=5+w+x20 = 5 + w + x\newline(C) 19=4+w+x19 = 4 + w + x\newline(D) 18=3+w+x18 = 3 + w + x

Full solution

Q. Select all of the equations below that are equivalent to:\newline15=w+x15 = w + x\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) 17=w+x+217 = w + x + 2\newline(B) 20=5+w+x20 = 5 + w + x\newline(C) 19=4+w+x19 = 4 + w + x\newline(D) 18=3+w+x18 = 3 + w + x
  1. Compare Choices: To determine which equations are equivalent to 15=w+x15 = w + x, we need to compare each choice to see if they can be simplified or rearranged to match the original equation.
  2. Check Choice (A): Let's start with choice (A) 17=w+x+217 = w + x + 2. To check if this is equivalent to 15=w+x15 = w + x, we need to see if subtracting 22 from both sides of (A) gives us the original equation.\newline172=w+x17 - 2 = w + x\newline15=w+x15 = w + x\newlineThis shows that (A) is equivalent to the original equation.
  3. Check Choice (B): Now let's check choice (B) 20=5+w+x20 = 5 + w + x. To check if this is equivalent to 15=w+x15 = w + x, we need to see if subtracting 55 from both sides of (B) gives us the original equation.\newline205=w+x20 - 5 = w + x\newline15=w+x15 = w + x\newlineThis shows that (B) is equivalent to the original equation.
  4. Check Choice (C): Next, we look at choice (C) 19=4+w+x19 = 4 + w + x. To check if this is equivalent to 15=w+x15 = w + x, we need to see if subtracting 44 from both sides of (C) gives us the original equation.\newline194=w+x19 - 4 = w + x\newline15=w+x15 = w + x\newlineThis shows that (C) is equivalent to the original equation.
  5. Check Choice (D): Finally, we examine choice (D) 18=3+w+x18 = 3 + w + x. To check if this is equivalent to 15=w+x15 = w + x, we need to see if subtracting 33 from both sides of (D) gives us the original equation.\newline183=w+x18 - 3 = w + x\newline15=w+x15 = w + x\newlineThis shows that (D) is equivalent to the original equation.

More problems from Identify equivalent equations