Find the value of x in each of the following proportion.
1. 5:x=3:6
2. 9:x=x:49
3. 3/x=24/16
4. 5/x+1
5. 2/5=x-7/30
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Find the value of x in each of the following proportion.
1. 5:x=3:6
2. 9:x=x:49
3. 3/x=24/16
4. 5/x+1
5. 2/5=x-7/30
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[tex]\large \color{red}{{{ \boxed{\tt{} \: \: Solution:
\: \: }}}}
[/tex]
[tex]1) \: 5:x=3:6 \\ = \frac{5}{x} = \frac{3}{6 } \\ \small \color{red}{{{ \boxed{\tt{} \: \: x=10:
\: \: }}}}[/tex]
[tex]2) \: 9:x=x:49 \\ = \frac{9}{x} = \frac{x}{49} \\ = > x = \sqrt{9 \times 49} = 3 \times 7 \\ = \small \color{red}{{{ \boxed{\tt{} \: \: x=21:
\: \: }}}}[/tex]
[tex]3) \: 3/x=24/16 \\ = \frac{3}{x} = \frac{24}{16} \\ = > \frac{3 \times 16}{24} \\ = > \small \color{red}{{{ \boxed{\tt{} \: \: x=2:
\: \: }}}}
[/tex]
[tex]4) \: This \: expression \\ \: is \: not \: solvable
[/tex]
[tex]5) \: 2/5=x-7/30 \\ = > \frac{2}{5} = \frac{x - 7}{30} \\ = > 60 - 5(x - 7) \\ = > 12 = x - 7 \\ = > - x = - 7 - 12 \\ = > - x = - 19 \\ = > \small \color{red}{{{ \boxed{\tt{} \: \: x=19:
\: \: }}}}
[/tex]