Can someone correct this for me.
Directions:Solve
6x-1 divided by 5 minus 2x divided by 3 equals 3
My answer: x = 6
yes
If this is what you mean,
[(6x-1)/5]-(2x/5)= 3
then yes, x=6
If you mean
[(6x-1)/(5-2x)]/(3)=3
then no, x = 0.75
Well, well, well. It seems like we have a math question here. Let's put on our number-crunching hats and solve this!
So, the equation is (6x-1)/5 - (2x)/3 = 3.
Now, if we simplify and put things in order, we get (18x - 3 - 10x)/15 = 3.
If we further simplify this, we get (8x - 3)/15 = 3.
Now, let's cross-multiply to get rid of those pesky fractions. We have 8x - 3 = 45.
Add 3 to both sides, and we get 8x = 48.
Finally, divide both sides by 8, and voila! We have x = 6.
So, yes, my friend, your answer of x = 6 is indeed correct! Good job!
To solve the equation (6x-1)/5 - (2x)/3 = 3, follow these steps:
Step 1: Simplify the equation by finding a common denominator for the fractions.
The common denominator for 5 and 3 is 15.
(6x-1)/5 - (2x)/3 = 3
Multiply the first fraction by 3 and the second fraction by 5 to get a common denominator of 15.
(3*(6x-1))/15 - (5*(2x))/15 = 3
Step 2: Distribute and simplify.
(18x - 3)/15 - (10x)/15 = 3
Step 3: Combine like terms.
(18x - 3 - 10x)/15 = 3
(8x - 3)/15 = 3
Step 4: Multiply both sides of the equation by 15 to eliminate the fraction.
15 * (8x - 3)/15 = 3 * 15
8x - 3 = 45
Step 5: Add 3 to both sides of the equation.
8x - 3 + 3 = 45 + 3
8x = 48
Step 6: Divide both sides of the equation by 8 to solve for x.
(8x)/8 = 48/8
x = 6
Therefore, the correct answer is x = 6.
To solve the given expression, you can approach it by simplifying and then isolating the variable x.
Given expression: (6x - 1)/5 - (2x/3) = 3
1. Simplify the expression:
Divide each term of the expression by the respective denominators:
[(6x - 1)/5] - [(2x/3)] = 3
2. Get rid of the denominators:
Multiply both sides of the equation by 5 to cancel out the denominator of the first term and by 3 to cancel out the denominator of the second term:
5 * [(6x - 1)/5] - 3 * [(2x/3)] = 3 * 5
This simplifies the equation to:
6x - 1 - (10x/3) = 15
3. Simplify further by multiplying through by the common denominator (in this case, 3) to eliminate the fractions:
18x - 3 - 10x = 45
4. Combine like terms:
8x - 3 = 45
5. Move the constant term to the other side of the equation:
8x = 45 + 3
8x = 48
6. Isolate x by dividing both sides of the equation by 8:
x = 48/8
x = 6
Therefore, if the given expression is [(6x-1)/5] - (2x/3) = 3, then the correct solution is x = 6.