How Do Solve 3/4=3/8x-3/2 And Show All Your Work

Mathematics

2 answers:

ipn [44]3 years ago

5 0

The answer is: x = 6

Step 1: Simplify 3/8x to 3x/8. 3/4 = 3x/8 - 3/2

Step 2: Add 3/2 to both sides. 3/4 + 3/2 = 3x/8

Step 3: Simple 3/4 + 3/2 to 9/4. 9/4 = 3x/8

Step 4: Multiply both sides by 8. 9/4 x 8 = 3x

Step 5: Simplify 9/4 x 8 to 72/4. 72/4 = 3x

Step 6: Simplify 72/4 to 18. 18 = 3x

Step 7: Divide both sides by 3. 18/3 = x

Step 7: Simplify 18/3 to get your answer: 6

Let me know if this helps! Have a great rest of your night Jordan!

lubasha [3.4K]3 years ago

3 0

It's too hard for me to show all the work, but you can find a common denominator in 8.

Change 3/4 to 6/8 and -3/2 to -12/8.

Now that all the fractions have the same denominator, you can multiply the whole problem by 8 and cancel out all denominators.

You are left with 6=3x-12

Add 12 to 6 and cancel out on the right side.

18=3x

Divide by 18 by 3

x=6

You might be interested in

Perform the operation indicated, then place the answer in the proper location on the grid. The perimeter of a triangle is 7a - 1

vlada-n [284]

Answer: 4 a - 3 b

Step-by-step explanation:

Since, the perimeter of the triangle = sum of all the three side of the triangle.

Here, two sides of the triangle are 2a + b and a - 9b,

And, the perimeter of the triangle = 7 a - 11

Let third side = x

Therefore, 2 a + b + a - 9 b + x = 7 a - 11 b

⇒ 3 a - 8 b + x = 7 a - 11 b

⇒ x = 7 a - 11 b - 3 a + 8 b