Question

Item 5 Solve. −5/9x+3.2=5 Enter your answer as a decimal or as a mixed number in simplest form in the box. x =

Answer 1

`\textsf{Decimal}: \quad x=-3.24`

`\textsf{Mixed number}: \quad x = -3 (6)/(25)`

Step-by-step explanation:

To solve:

`-(5)/(9)x+3.2=5`

Subtract 3.2 from both sides:

`\implies -(5)/(9)x+3.2-3.2=5-3.2`

`\implies -(5)/(9)x=1.8`

Multiply both sides by 9:

`\implies -(5)/(9)x\cdot 9=1.8 \cdot 9`

`\implies -5x=16.2`

Divide both sides by -5:

`\implies (-5x)/(-5)=(16.2)/(-5)`

`\implies x=-3.24`

Answer 2

x = -3.24

Step-by-step explanation:

`\sf \implies- (5)/(9) x + 3.2 = 5`

subtract 3.2 from both sides

`\sf \implies- (5)/(9) x + 3.2 -3.2 = 5-3.2`

simplify the following

`\sf \implies- (5)/(9) x = 1.8`

multiply both sides by -9/5

`\sf \implies -(5)/(9)x \ \cdot \ -(9)/(5) = 1.8 \ \cdot \ -(9)/(5)`

simplify the following

`\sf \implies x = -(16.2)/(5) \quad or \quad -3.24`