Question

the equation is k+7 over x+1 equals 5 over 2if k=3 in the equation and x>0, what is the value of x?

Answer 1

Answer

x = 3

Explanation

The equation is given as

$\frac{k+7}{x+1}=\frac{5}{2}$

If k = 3, then we are asked to solve for x.

$\begin{gathered} \frac{3+7}{x+1}=\frac{5}{2} \\ \frac{10}{x+1}=\frac{5}{2} \\ \text{Cross multiply} \\ 5(x+1)=2\times10 \\ 5x+5=20 \\ \text{Subtract 5 from both sides} \\ 5x+5-5=20-5 \\ 5x=15 \\ \text{Divide both sides by 5} \\ \frac{5x}{5}=\frac{15}{5} \\ x=3 \end{gathered}$

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