Kate begins solving the equation 2/3(6x – 3) =1/2 (6x – 4). Her work is correct and is shown below. 2/3(6x – 3) = 1/2(6x – 4) 4x
– 2 = 3x – 2 When she adds 2 to both sides, the equation 4x = 3x results. Which is the best interpretation of this equation? The equation has infinite solutions. The equation has one solution: x = 0. The equation has one solution: x = 4/3. The equation has no solution.
<em><u>The answer is</u></em>: <u>The equation has a solution: x = 0.</u>
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Step-by-step explanation:
After performing all operations and remaining as a result: 4x - 2 = 3x - 2; 4x - 3x = -2 + 2;<u> x = 0</u>, <u>would be the final result of the operations</u>.
<em><u>The answer is</u></em>: <u>The equation has a solution: x = 0.</u>