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]
