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How many solutions exist for the given equation?
1/2(x+12) = 4x - 1

Zero
One
Two
Infinitely many


Sagot :

Answer:

1

Step-by-step explanation:

Answer:

One

Step-by-step explanation:

[tex] \frac{1}{2} (x +12) = 4x - 1 \\ \\ \frac{1}{2} x + \frac{1}{2} \times 12 = 4x - 1 \\ \\ \frac{1}{2} x + 6 = 4x - 1 \\ \\ 6 + 1 = 4x - \frac{1}{2} x \\ \\ 7 = \frac{8x - x}{2} \\ \\ 7 = \frac{7}{2} x \\ \\ 7 \times 2 = 7x \\ \\ x = \frac{7 \times 2}{7} \\ \\ x = 2[/tex]

So, there exist only one solution for the given equation.