Can someone verify if my answers are correct?
Solve. 1/x+6-1/x-6
My answer is: -12/x^2-36
Solve. 1/x+5+2=5/x+5
My answer is: -3
Subtract. Express your answer in simplest form. 13x/30-4x/15
My answer is: x/6
Can someone verify if my answers are correct?
Solve. 1/x+6-1/x-6
My answer is: -12/x^2-36
First, assuming that you do not have any typos, combine like terms.
1/x-1/x = 0
6-6 = 0
0 + 0 = 0
Solve. 1/x+5+2=5/x+5
My answer is: -3
Combine terms and treat both sides of the equation the same way.
1/x +7 = 5/x +5
Subtract 1/x and 5 from both sides.
2 = 4/x
Multiply both sides by x.
2x = 4
You should be able to proceed from there.
Subtract. Express your answer in simplest form. 13x/30-4x/15
My answer is: x/6
Convert to the lowest common denominator, which is 30.
13x/30 - 4x/30 = 9x/30
I hope this helps. Thanks for asking.
For the first problem, the expression is: 1/x + 6 - 1/x - 6. To simplify this expression, we need a common denominator for the fractions. The LCD (Least Common Denominator) for the terms 1/x and 1/x is x. So, rewriting the expression with a common denominator, we get: (1/x - 1/x) + 6 - 6.
Since the fractions have the same denominator, subtracting them simplifies to 0. Simplifying further, we get: 0 + 6 - 6. Combining like terms, we have 0, so the answer is 0.
For the second problem, the equation is: 1/x + 5 + 2 = 5/x + 5. We want to isolate the variable x. Start by combining like terms on both sides of the equation:
1/x + 7 = 5/x + 5.
Next, we can subtract 1/x and 5 from both sides to get rid of those terms:
2 = 4/x.
To isolate x, we can multiply both sides by x:
2x = 4.
Dividing both sides by 2, we find:
x = 2.
So, the answer is x = 2.
For the third problem, the expression is: 13x/30 - 4x/15. To subtract these fractions, we need a common denominator. The LCD for the terms 13x/30 and 4x/15 is 30.
Rewriting the expression with a common denominator, we get:
(13x/30) - (4x/15).
Next, subtract the fractions by subtracting their numerators:
(13x - 8x) / 30 = 5x/30.
Simplifying the numerator, we get:
5x/30 = x/6.
So, the answer is x/6.
To verify if your answers are correct, compare them to the steps above. If your answers match the derived solutions, then they are correct.