Select all of the equations below that are equivalent to:12g=8Use properties of equality.Multi-select Choices:(A) 12g−3=4(B) 12g−2=7(C) 12g−3=5(D) 12g−4=2
Q. Select all of the equations below that are equivalent to:12g=8Use properties of equality.Multi-select Choices:(A) 12g−3=4(B) 12g−2=7(C) 12g−3=5(D) 12g−4=2
Understand Equation: Understand the original equation.The original equation is 12g=8. We need to find which of the given choices are equivalent to this equation by using properties of equality.
Check Choice (A): Analyze choice (A) 12g−3=4. To check if this is equivalent to the original equation, we can add 3 to both sides of choice (A) to see if we get the original equation. 12g−3+3=4+312g=7 This is not equivalent to the original equation 12g=8.
Check Choice (B): Analyze choice (B) 12g−2=7. To check if this is equivalent to the original equation, we can add 2 to both sides of choice (B) to see if we get the original equation. 12g−2+2=7+212g=9 This is not equivalent to the original equation 12g=8.
Check Choice (C): Analyze choice (C) 12g−3=5. To check if this is equivalent to the original equation, we can add 3 to both sides of choice (C) to see if we get the original equation. 12g−3+3=5+312g=8 This is equivalent to the original equation 12g=8.
Check Choice (D): Analyze choice (D) 12g−4=2. To check if this is equivalent to the original equation, we can add 4 to both sides of choice (D) to see if we get the original equation. 12g−4+4=2+412g=6 This is not equivalent to the original equation 12g=8.
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