Select all of the equations below that are equivalent to: –14 = f + g Use properties of equality. Multi-select Choices: (A)60 = (f + g) · –5 (B)–26 = (f + g) · 2 (C)39 = (f + g) · –3 (D)–70 = 5(f + g)

Question

Select all of the equations below that are equivalent to:  –14 = f + g Use properties of equality.    Multi-select Choices: (A)60 = (f  +  g)  ·  –5 (B)–26 = (f  +  g)  ·  2 (C)39 = (f  +  g)  ·  –3 (D)–70 = 5(f  +  g)

Bytelearn · Accepted Answer

Given Equation: We are given the equation –14 = f + g. We need to determine which of the given choices are equivalent to this equation by using properties of equality.Check Choice (A): Let's start with choice (A) 60 = (f + g) · –5. To check if this is equivalent, we can divide both sides of the equation by –5 to see if we get the original equation. 60 / –5 = (f + g) · –5 / –5 –12 = f + g This is not equivalent to –14 = f + g.Check Choice (B): Now let's check choice (B) –26 = (f + g) · 2. We divide both sides by 2 to see if it matches the original equation. –26 / 2 = (f + g) · 2 / 2 –13 = f + g This is not equivalent to –14 = f + g.Check Choice (C: Next, we examine choice (C) 39 = (f + g) · –3. We divide both sides by –3 to check for equivalence. 39 / –3 = (f + g) · –3 / –3 –13 = f + g This is not equivalent to –14 = f + g.Check Choice (D): Finally, we look at choice (D) –70 = 5(f + g). We divide both sides by 5 to determine if it is equivalent to the original equation. –70 / 5 = 5(f + g) / 5 –14 = f + g This is equivalent to –14 = f + g.

Full solution

More problems from Identify equivalent equations

Related topics