Without using a calculator, solve for x in the equation 0.5
𝑥 × 0.1251−𝑥 = 32. (3marks)
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.
To solve for x in the equation 0.5x * 0.1251 - x = 32, we can follow these steps:
Step 1: Distribute 0.5x to both terms on the left side of the equation:
0.06255x - x = 32
Step 2: Combine like terms:
-0.93745x = 32
Step 3: Divide both sides of the equation by -0.93745 to isolate x:
x = 32 / -0.93745
Step 4: Calculate the division to find the value of x:
x ≈ -34.083
Therefore, the solution for x in the equation 0.5x * 0.1251 - x = 32 is x ≈ -34.083.