Question

5 1/2 +1 3/10x=13 what does x equal

Answer 1

`x=5(10)/(13)`

Step-by-step explanation:

Given the equation

`5(1)/(2)+1(3)/(10)x=13`

Step 1: Change all the mixed fraction to improper fractions

`\implies(11)/(2)+(13x)/(10)=13`

Step 2: Find the lowest common multiple of the denominators (2 and 10)

The lowest common multiple = 10

Step 3: Multiply all through by 10.

`\begin{gathered} \implies(11)/(2)*10+(13x*10)/(10)=13*10 \\ =55+13x=130 \end{gathered}`

Step 4: Apply the subtraction law of equality. (Subtract 55)

`\begin{gathered} 55-55+13x=130-55 \\ 13x=75 \end{gathered}`

Step 5: Apply the division law of equality. (Divide by 13)

`\begin{gathered} (13x)/(13)=(75)/(13) \\ x=5(10)/(13) \end{gathered}`