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Sagot :
Answer:
[tex]x=5\frac{10}{13}[/tex]Explanation:
Given the equation
[tex]5\frac{1}{2}+1\frac{3}{10}x=13[/tex]Step 1: Change all the mixed fraction to improper fractions
[tex]\implies\frac{11}{2}+\frac{13x}{10}=13[/tex]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.
[tex]\begin{gathered} \implies\frac{11}{2}\times10+\frac{13x\times10}{10}=13\times10 \\ =55+13x=130 \end{gathered}[/tex]Step 4: Apply the subtraction law of equality. (Subtract 55)
[tex]\begin{gathered} 55-55+13x=130-55 \\ 13x=75 \end{gathered}[/tex]Step 5: Apply the division law of equality. (Divide by 13)
[tex]\begin{gathered} \frac{13x}{13}=\frac{75}{13} \\ x=5\frac{10}{13} \end{gathered}[/tex]
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