Question

Solve each of the following equations. Also, verify the result in each case.
$0.6x+\frac{4}{5}=0.28x+1.16$

Answer 1

0.6x + 45 = 0.28x + 1.16
Transposing 0.28x to LHS and 4/5 to RHS, we get
=> 0.6x - 0.28x = 1.16 - 4/5
=> 0.32x = 1.16 - 0.8
=> 0.32x = 0.36
Dividing both sides by 0.32, we get
=> 0.32x/0.32 = 0.36/0.32
=> x = 9/8
Verification:
Substituting x = 9/8 on both sides, we get
0.698 + 45 = 0.2898 + 1.165.48 + 45 = 2.528 + 1.160.675 + 0.8 = 0.315 + 1.161.475 = 1.475
LHS = RHS
Hence, verified.