| $\text{x}=\frac{\text{m}_1\text{x}_2+\text{m}_2\text{x}_1}{\text{m}_1+\text{m}_2}$ | and | $\text{y}=\frac{\text{m}_1\text{y}_2+\text{m}_2\text{y}_1}{\text{m}_1+\text{m}_2}$ |
| $\Rightarrow\text{x}=\frac{\text{k+7}}{\text{k+1}}$ | $\text{y}=\frac{\text{k}(-5)+1(-2)}{\text{k+1}}$ | |
| $\Rightarrow5=\frac{\text{k}+7}{\text{k}+1}$ | $-3=\frac{-5\text{k}-2}{\text{k}+1}$ | |
| $\Rightarrow5\text{k}+5=\text{k}+7$ | $-5\text{k}-2=-3\text{k}-3$ | |
| $\Rightarrow4\text{k}=7-5$ | $-2\text{k}=-3+2$ | |
| $\Rightarrow\text{k}=\frac{2}{4}=\frac{1}{2}$ | $\text{k}=\frac{-1}{-2}=\frac{1}{2}$ |
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