Question

3a + 5b = 26 ; a + 5b = 22 ​

Answer 1

`\boxed{a=2,\:b=4}`

Explanation:

`\begin{bmatrix}3a+5b=26\\ a+5b=22\end{bmatrix}`

Isolate a from 3a + 5b = 26,

`a=\cfrac{26-5b}{3}`

`\begin{bmatrix}\cfrac{26-5b}{3}+5b=22\end{bmatrix}`

`\begin{bmatrix}\cfrac{26+10b}{3}=22\end{bmatrix}`

Now, Isolate b for

`\cfrac{26+10b}{3}=22\:\:\boxed{b=4}`

Now, Substitute b=4

`a=\cfrac{26-5* \:4}{3}`

`\cfrac{26-5* \:4}{3}\:\:\boxed{a=2}`

`\boxed{a=2,\:b=4}`

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