Without using a calculator, solve for x in the equation 0.5

𝑥 × 0.1251−𝑥 = 32. (3marks)

1 answer

To solve for x in the equation 0.5x * 0.1251-x = 32, we can follow these steps:

1. Distribute 0.5x through the equation:
0.5x * 0.1251 - 0.5x = 32

2. Rewrite the equation:
0.06255x - 0.5x = 32

3. Combine like terms:
-0.43745x = 32

4. Divide both sides by -0.43745 to isolate x:
x = 32 / -0.43745

5. Simplify the division:
x ≈ -73.116

Therefore, the value of x is approximately -73.116.