5/8 x+1/16 x=11/16+x
16*(5/8 x+1/16 x) = 16(11/16+x)
10x + x = 11 + 16x, so the next step is:
11x = 11 + 16x (get x-terms on the left.)
-x = 11 (divide by -1.)
x = 11
Is this correct?
plug the value you found for x to determine whether or not this value is correct.
Like so:
5/8(11)+1/16(11)=11/16+ 11
11x = 11 + 16x
here's the next step:
11x-16x = 11
collect like terms and solve for x
here's the next step:
11x-16x = 11 (collect like terms and solve for x.)
-5x = 11
-x = 11
x = 11
Thank you TutorCat, the answer does match.
Please only post your questions once. Repeating posts will not get a quicker response. In addition, it wastes our time looking over reposts that have already been answered in another post. Thank you.
Again, dividing both sides by -5 does not give you
-x = 11
You are correct, 11/5 = 2.2. Do I need to round off for a single integer?
To solve the equation 5/8 x + 1/16 x = 11/16 + x, you need to find the value of x that satisfies the equation. Let's go through the steps you mentioned:
1. Multiply both sides of the equation by 16 to eliminate the denominators:
16 * (5/8 x + 1/16 x) = 16 * (11/16 + x)
Simplifying the left side gives: 10x + x = 11 + 16x
2. Combine like terms on both sides of the equation:
11x = 11 + 16x
At this point, to solve for x, you want to get all the terms with x on one side of the equation and the constants on the other side. The next step is to subtract 16x from both sides of the equation:
11x - 16x = 11 + 16x - 16x
-5x = 11
Now, to isolate the variable x, you divide both sides of the equation by -5:
(-5x) / -5 = 11 / -5
x = -11/5
So, your answer is x = -11/5 or -2.2 in decimal form.
Thus, there seems to be a mistake in your steps. The solution for x is not 11, but rather -11/5 or -2.2.