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Identify whether each equation has one solution, Infinitely many solutions, or no solution.

f - j =-f+
-1.7v + 2.8 = 1.4v - 3.1v + 2.8
3 - 2 2 = 3/5 + 2 2 - 1
4a - 3 + 2a = 7a - 2
A) One Solution
B)Infinitely Many Solutions
C)No Solution

1 Answer

2 votes

Final answer:

Without the correct equations presented, we cannot definitively determine the number of solutions for each. However, an example is given where the equation 4a - 3 + 2a = 7a - 2 simplifies to a=-1, indicating it has one solution.

Step-by-step explanation:

To determine whether each equation has one solution, infinitely many solutions, or no solution, we must attempt to isolate the variables and simplify the equations. If we can find a unique value for the variable, the equation has one solution. If the equation simplifies to an identity (true for all values of variables), then it has infinitely many solutions. If the equation simplifies to a contradiction (never true), then it has no solution.

Unfortunately, the equations provided in the question seem to be incomplete or are presented with typographical errors. Therefore, without the correct equations, we cannot provide a definitive answer on the number of solutions.

However, we can use an example: the equation 4a - 3 + 2a = 7a - 2. By combining like terms, we get 6a - 3 = 7a - 2. Subtracting 6a from both sides, we get -3 = a - 2. By adding 2 to both sides, we get -1 = a. This equation has one solution, a = -1.

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