Which of the statements is true for the two equations below? Equation A: 6+3x=3x-3 Equation B: 2(4x-1)=8x-2
Mathematics · High School · Tue Nov 03 2020
Answered on
Determine which of the following equations are true.
Equation A: 6+3x=3x-3
Equation B: 2(4x-1)=8x-2
Solution:
To do so we must simply solve for the whole equation by combining like terms, whereas the final answer should be 0.
Equation A: 6 + 3x = 3x - 3
Transpose 3x - 3 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
6 + 3x = 3x - 3
6 + 3 + 3x - 3x = 0
9 = 0
False since 9 is not equal to 0.
Equation B: 2(4x - 1) = 8x -2
Distribute 2 to each value inside the parenthesis, then transpose the product to the other side of the equation, following the guidelines in transposing of numbers.
2(4x - 1) = 8x - 2
8x - 2 = 8x - 2
8x - 8x - 2 + 2 = 0
0 = 0
Final answer:
Equation B is true.