Question

2.7(5.1x + 4.9) = 3.2x + 28.9

Answer 1

Step by step-

2.7(5.1x+4.9)=3.2x+28.9
Distribute 2.7 through the parentheses
13.77x + 13.23 = 3.2x+ 28.9
Move the variable to the left and change the sign (3.2x into -3.2)
13.77x - 3.2x + 13.23 = 28.9
Move the constant to the right hand side and change the variable ( 13.23 into -13.23)
13.77x -3.2x = 28.9 - 13.23
Collect like terms
10.57x = 15.67
Divide both sides by 10.57x
10.57x = 15.67
———- ———
10.57 10.57

Answer = x= 1567/1057

Answer 2

Value of x :

`x = (1567)/(1057) = 1.4824`

Explanation:

-Solve for x :

`2.7(5.1x + 4.9) = 3.2x + 28.9`

-Use Distributive Property :

`2.7(5.1x + 4.9) = 3.2x + 28.9`

`13.77x + 13.23 = 3.2x + 28.9`

- Subtract both
`13.77x` and
`3.2x` :

`13.77x - 3.2x + 13.23 = 3.2x - 3.2x + 28.9`

`10.57x + 13.23 = 28.9`

-Subtract both sides by
`13.23` :

`10.57x + 13.23 - 13.23 = 28.9 - 13.23`

`10.57x = 15.67`

-Divide both sides by
`10.57` :

`(10.57x)/(10.57) = (15.67)/(10.57)`

`x = (15.67)/(10.57)`

-Multiply both the numerator and the denominator by
`100` :

`x = (15.67*100 )/(10.57* 100)`

`x = (1567)/(1057)`

-Final result:

`x = (1567)/(1057) = 1.4824`