Respuesta :
Answer:
Value of x :
[tex]x = \frac{1567}{1057} = 1.4824[/tex]
Step-by-step explanation:
-Solve for x :
[tex]2.7(5.1x + 4.9) = 3.2x + 28.9[/tex]
-Use Distributive Property :
[tex]2.7(5.1x + 4.9) = 3.2x + 28.9[/tex]
[tex]13.77x + 13.23 = 3.2x + 28.9[/tex]
- Subtract both [tex]13.77x[/tex] and [tex]3.2x[/tex] :
[tex]13.77x - 3.2x + 13.23 = 3.2x - 3.2x + 28.9[/tex]
[tex]10.57x + 13.23 = 28.9[/tex]
-Subtract both sides by [tex]13.23[/tex] :
[tex]10.57x + 13.23 - 13.23 = 28.9 - 13.23[/tex]
[tex]10.57x = 15.67[/tex]
-Divide both sides by [tex]10.57[/tex] :
[tex]\frac{10.57x}{10.57} = \frac{15.67}{10.57}[/tex]
[tex]x = \frac{15.67}{10.57}[/tex]
-Multiply both the numerator and the denominator by [tex]100[/tex] :
[tex]x = \frac{15.67\times100 }{10.57\times 100}[/tex]
[tex]x = \frac{1567}{1057}[/tex]
-Final result:
[tex]x = \frac{1567}{1057} = 1.4824[/tex]
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
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
