Question

0.8x+1.25=2x+0.05. Find x and verify your answer

Answer 1

Answer:

See the attachment for your answer

Answer 2

GIVEN: 0.8x + 1.25 = 2x + 0.05
TO FIND: x and verify that equation is correct

SOLUTION:

• We have been given the equation and we need to find the value of x.
• We also need to prove that the left-hand side is equal to the right-hand side.
• For finding the value of x we need to take all the variables at one side and constants at another.

Value of x =

0.8x + 1.25 = 2x + 0.05

$\frac{8x}{10}$ + $\frac{125}{100}$  = 2x + $\frac{5}{100}$

$\frac{125}{100}$ - $\frac{5}{100}$ = 2x - $\frac{8x}{10}$

$\frac{120}{100}$ = $\frac{12x}{10}$

1.2 = 1.2x

1 = x

Value of x is 1.

We have to prove that the value of x satisfies the equation.

0.8x + 1.25 = 2x + 0.05

LHS = RHS

0.8 × 1 + 1.25 = 2 × 1 + 0.05

2.05 = 2.05

Hence, the value of x satisfies the equation and LHS = RHS.

The value of x is 1.