6) $$ \frac{7}{b+5}=\frac{10}{5} $$

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UpStudy AI · Accepted Answer

Solve the equation $$ \frac{7}{b+5}=\frac{10}{5} $$.
Solve the equation by following steps:
- step0: Solve for $$b$$:
  $$\frac{7}{b+5}=\frac{10}{5}$$
- step1: Find the domain:
  $$\frac{7}{b+5}=\frac{10}{5},b
eq -5$$
- step2: Divide the terms:
  $$\frac{7}{b+5}=2$$
- step3: Cross multiply:
  $$7=\left(b+5ight)	imes 2$$
- step4: Simplify the equation:
  $$7=2\left(b+5ight)$$
- step5: Swap the sides:
  $$2\left(b+5ight)=7$$
- step6: Divide both sides:
  $$\frac{2\left(b+5ight)}{2}=\frac{7}{2}$$
- step7: Divide the numbers:
  $$b+5=\frac{7}{2}$$
- step8: Move the constant to the right side:
  $$b=\frac{7}{2}-5$$
- step9: Subtract the numbers:
  $$b=-\frac{3}{2}$$
- step10: Check if the solution is in the defined range:
  $$b=-\frac{3}{2},b
eq -5$$
- step11: Find the intersection:
  $$b=-\frac{3}{2}$$
The solution to the equation $$ \frac{7}{b+5}=\frac{10}{5} $$ is $$ b = -\frac{3}{2} $$ or $$ b = -1.5 $$.
$$ b = -1.5 $$

6) \( \frac{7}{b+5}=\frac{10}{5} \)

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