SOLUTION: sqrt(3x-1)+2=7 A)7/9 B)13/6 C)-21/37 D)26/3 E)-34/7

Question 601403: sqrt(3x-1)+2=7
A)7/9
B)13/6
C)-21/37
D)26/3
E)-34/7
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
You are asked to solve for x in the equation:
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Let's begin by getting rid of the +2 on the left side. This will be the first step in our goal of getting the unknown to be by itself on the left side. We eliminate the +2 on the left side by subtracting 2 from both sides. This subtraction of 2 from both sides simplifies the equation to:
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Next, we can get rid of the radical by squaring both sides. When you square the left side, the result is just the quantity that was inside the radical. And when you square the right side you get 5 * 5 = 25. So after squaring both sides you have:
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Now we can get rid of the -1 on the left side by adding 1 to both sides. On the left side the addition of 1 results in -1 + 1 = 0 and on the right side it results in 25 + 1 = 26. So by adding 1 to both sides, we simplified the equation to:
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Finally we can solve for x by dividing both sides by 3. On the left side, the 3x divided by 3 results in just x and on the right side the 26 divided by 3 is 26/3. So dividing both sides by 3 gives us the answer:
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and this is answer D on the list of possible answers that you were given.
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Hope this helps you to understand the problem a little bit better, and you can see the logic of the approach to solving the problem.
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