When the problem says "Angel transformed the following equation from 6x+4-×=2 (×+1) to
10=2 (×+1). He then stated that the solution to the equation is ×=4. Is he correct? Explain"
when I solved the equation I got 24=10 and 10=10. However, im having trouble explaining it... please help!
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To determine whether Angel's solution ×=4 is correct or not, let's check the steps Angel used to transform the equation:
1. Given equation: 6x + 4 - × = 2 (× + 1)
2. Transforming to Angel's equation: Angel transformed the equation to 10 = 2 (× + 1)
Now, we need to solve this equation by following these steps:
1. Start with the equation 10 = 2 (× + 1)
2. Distribute the 2 on the right side of the equation:
10 = 2× + 2
3. Subtract 2 from both sides of the equation:
10 - 2 = 2× + 2 - 2
8 = 2×
4. Divide both sides of the equation by 2:
8 ÷ 2 = 2× ÷ 2
4 = ×
So, the value of × that satisfies the equation is × = 4.
Therefore, Angel's solution × = 4 is correct. It is consistent with the original equation and yields 10 = 2 (4 + 1), which simplifies to 10 = 10.
Your solutions of 24 = 10 and 10 = 10 are incorrect, possibly due to a mistake in the calculations. Always double-check your work to ensure accuracy when solving equations.