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Maths-

SAT

Easy

Question

5x -2 + 3x = 3(x + 4) + 5x - 10
Which of the following statements is true about the equation above?

The equation has one solution because a single value of x makes this equation true.
The equation has one solution because the equation is true for all values of x.
The equation has an infinite number of solutions because the equation is true for all values of x.
The equation has no solution because the equation is not true for any value of x.

The correct answer is: The equation has no solution because the equation is not true for any value of x.

5x – 2 + 3x = 3(x + 4) + 5x – 10
5x – 2 + 3x = 3x = 12 + 5x – 10
8x – 2 = 8x + 2
0 = 4
Based on the given condition, the system of equations has no solution.

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