(x/8)+ (x/8)= 9/8
(x/8)+(x/8)=2x/8
Solve this like a proportion.
2x/8=9/8
Cross Multiply.
16x=72
Divide each side by 16 to isolate x.
x = 72/16 = ____.
multiply each term by 8 ----> x + x = 9
2x = 9
x = 9/2 or 4.5
To solve the equation (x/8) + (x/8) = 9/8, you can follow these steps:
Step 1: Combine like terms
Since both terms on the left side have the same denominator of 8, you can combine them by adding the numerators. This gives you: (2x/8) = 9/8.
Step 2: Multiply both sides by the reciprocal of the coefficient of x
To isolate x, you can multiply both sides of the equation by the reciprocal of the coefficient of x, which is 8/2 or 4. This yields: (4 * 2x/8) = (4 * 9/8).
Step 3: Simplify
On the left side, 4 cancels out with 8. Simplifying the right side gives you: (2x/2) = 36/8.
Step 4: Further simplify
Simplifying the equation gives you: x/4 = 9/2.
Step 5: Multiply both sides by 4
To obtain x, you can multiply both sides of the equation by 4, resulting in: (4 * x/4) = (4 * 9/2).
Step 6: Simplify
On the left side, 4 cancels out with 4. Simplifying the right side gives you: x = 36/2.
Step 7: Simplify further
Dividing 36 by 2 gives you: x = 18.
Thus, the solution to the equation (x/8) + (x/8) = 9/8 is x = 18.