An amount of Rs 5000 is put into three investments at the rate of interest of `6%,7% and 8%` per annum respectively. The total annual income is Rs 358. If the combined income from the first taoinvestments is Rs 70 more than the income from the third, find the amount of each investment by matrirx method

Explanation

Given,
Total amount invested $$=\mathrm{Rs} .5000$$
Let Rs. $$x$$. Rs. $$y$$ and Rs. $$z$$ be the imvestments respectively.
Then.
$$x+y+z=5000$$
$$
\begin{aligned}
&\frac{6 x}{100}+\frac{7 y}{100}+\frac{8 z}{100}=358 \\
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