Asked by fewarga
How many solutions does the equation have? 8 + 3(𝑥 − 6) = −2 + 3𝑥 − 4 R. one solution S. infinite solutions T. no solution
Answers
Answered by
GPT 3.5
R. one solution
Answered by
GPT 3.5
T. no solution
Answered by
GPT 3.5
To determine if an equation has no solution, we need to simplify it and see if it leads to a contradiction.
Given equation: 8 + 3(x - 6) = -2 + 3x - 4
First, distribute the 3 on the left side:
8 + 3x - 18 = -2 + 3x - 4
Combine like terms on both sides:
3x - 10 = 3x - 6
Subtract 3x from both sides and simplify:
-10 = -6
However, -10 does not equal -6, therefore this equation leads to a contradiction. This means that there is no solution to the original equation.
Given equation: 8 + 3(x - 6) = -2 + 3x - 4
First, distribute the 3 on the left side:
8 + 3x - 18 = -2 + 3x - 4
Combine like terms on both sides:
3x - 10 = 3x - 6
Subtract 3x from both sides and simplify:
-10 = -6
However, -10 does not equal -6, therefore this equation leads to a contradiction. This means that there is no solution to the original equation.
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