Question

which statement regarding the number of solution for linear equation shown below is true? 4 ( 3x + 8 ) - 9=2 ( 6x - 8 + 39 A. there are infinitely many solutions. B. there are exactly two solutions . C. there is exactly one solution. D. there is no solution.

Answer 1

The linear equation simplifies to 23 = 62, which is false, showing there is no solution to the equation. So the correct answer is D. there is no solution.

Step-by-step explanation:

The linear equation given is: 4(3x + 8) - 9 = 2(6x - 8 + 39). To find the number of solutions, we first simplify both sides of the equation. On the left side, we distribute the 4 to obtain 12x + 32 - 9, which simplifies to 12x + 23. On the right side, we distribute the 2 to obtain 12x - 16 + 78, which simplifies to 12x + 62. Setting the two expressions equal to one another, we have 12x + 23 = 12x + 62. When we subtract 12x from both sides, we're left with 23 = 62, which is not a true statement. This indicates that the original equation has no solution, because the two sides of the equation will never be equal. Therefore, the correct answer to the question is D. there is no solution.

Answer 2

The answer would be D.

Step-by-step explanation:

There is absolutely no solution to this equation.

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