Answer :
To match each equation with the correct solution, we need to analyze and solve each equation step by step:
1. For the equation:
[tex]\[ \frac{1}{3}(5x - 9) = 2\left(\frac{1}{3}x + 6\right) \][/tex]
Solving this, we find:
[tex]\[ x = 15 \][/tex]
2. For the equation:
[tex]\[ 5(x + 7) - 3(x - 4) = 7x + 2 \][/tex]
Solving this, we find:
[tex]\[ x = 9 \][/tex]
3. For the equation:
[tex]\[ 4(3x + 5) - 3 = 9x - 7 \][/tex]
Solving this, we find:
[tex]\[ x = -8 \][/tex]
So, the correct pairs are:
- [tex]\(\frac{1}{3}(5x - 9) = 2\left(\frac{1}{3}x + 6\right) \rightarrow x = 15\)[/tex]
- [tex]\(5(x + 7) - 3(x - 4) = 7x + 2 \rightarrow x = 9\)[/tex]
- [tex]\(4(3x + 5) - 3 = 9x - 7 \rightarrow x = -8\)[/tex]
Thus, the matching pairs are:
- [tex]\(x = 15\)[/tex]
- [tex]\(x = 9\)[/tex]
- [tex]\(x = -8\)[/tex]
1. For the equation:
[tex]\[ \frac{1}{3}(5x - 9) = 2\left(\frac{1}{3}x + 6\right) \][/tex]
Solving this, we find:
[tex]\[ x = 15 \][/tex]
2. For the equation:
[tex]\[ 5(x + 7) - 3(x - 4) = 7x + 2 \][/tex]
Solving this, we find:
[tex]\[ x = 9 \][/tex]
3. For the equation:
[tex]\[ 4(3x + 5) - 3 = 9x - 7 \][/tex]
Solving this, we find:
[tex]\[ x = -8 \][/tex]
So, the correct pairs are:
- [tex]\(\frac{1}{3}(5x - 9) = 2\left(\frac{1}{3}x + 6\right) \rightarrow x = 15\)[/tex]
- [tex]\(5(x + 7) - 3(x - 4) = 7x + 2 \rightarrow x = 9\)[/tex]
- [tex]\(4(3x + 5) - 3 = 9x - 7 \rightarrow x = -8\)[/tex]
Thus, the matching pairs are:
- [tex]\(x = 15\)[/tex]
- [tex]\(x = 9\)[/tex]
- [tex]\(x = -8\)[/tex]