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Gl88a Linear Equations 3 100% ∼90% ∼80% ∼70% 69%∼ Solve the following equations. (1) (x)/(2)-(x+3)/(5)=3

Gl8888a\newlineLinear Equations 33\newline\begin{tabular}{|c|c|c|c|c|}\newline\hline 100% 100 \% & ∼90% \sim 90 \% & ∼80% \sim 80 \% & ∼70% \sim 70 \% & 69%∼ 69 \% \sim \\\newline\hline\newline\end{tabular}\newlineSolve the following equations.\newline(11) x2−x+35=3 \frac{x}{2}-\frac{x+3}{5}=3

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Q. Gl8888a\newlineLinear Equations 33\newline\begin{tabular}{|c|c|c|c|c|}\newline\hline 100% 100 \% & ∼90% \sim 90 \% & ∼80% \sim 80 \% & ∼70% \sim 70 \% & 69%∼ 69 \% \sim \\\newline\hline\newline\end{tabular}\newlineSolve the following equations.\newline(11) x2−x+35=3 \frac{x}{2}-\frac{x+3}{5}=3
  1. Find Common Denominator: Find a common denominator for the fractions on the left side of the equation.\newlineThe common denominator for 22 and 55 is 1010. Multiply each term by 1010 to eliminate the denominators.\newline10×(x2)−10×(x+35)=10×310 \times (\frac{x}{2}) - 10 \times (\frac{x+3}{5}) = 10 \times 3
  2. Multiply by Common Denominator: Simplify each term.\newline5x−2(x+3)=305x - 2(x + 3) = 30
  3. Simplify Each Term: Distribute the −2-2 across the (x+3)(x + 3).5x−2x−6=305x - 2x - 6 = 30
  4. Distribute and Combine: Combine like terms on the left side of the equation.\newline(5x−2x)−6=30(5x - 2x) - 6 = 30\newline3x−6=303x - 6 = 30
  5. Add 66 to Isolate: Add 66 to both sides of the equation to isolate the term with the variable.\newline3x−6+6=30+63x - 6 + 6 = 30 + 6\newline3x=363x = 36
  6. Divide to Solve: Divide both sides of the equation by 33 to solve for xx.3x3=363\frac{3x}{3} = \frac{36}{3}x=12x = 12

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