Solve the equation 24 + 0.44x = 19 + 1.69x. a. x = 4 b. x = 0.44 c. x = 5 d. x = 5.4

A. x + 4

Step-by-step explanation: Simplifying

24 + 0.44x = 19 + 1.69x

Solving

24 + 0.44x = 19 + 1.69x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.69x' to each side of the equation.

24 + 0.44x + -1.69x = 19 + 1.69x + -1.69x

Combine like terms: 0.44x + -1.69x = -1.25x

24 + -1.25x = 19 + 1.69x + -1.69x

Combine like terms: 1.69x + -1.69x = 0.00

24 + -1.25x = 19 + 0.00

24 + -1.25x = 19

Add '-24' to each side of the equation.

24 + -24 + -1.25x = 19 + -24

Combine like terms: 24 + -24 = 0

0 + -1.25x = 19 + -24

-1.25x = 19 + -24

Combine like terms: 19 + -24 = -5

-1.25x = -5

Divide each side by '-1.25'.

x = 4

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.