Question

3a + 5b = 26 ; a + 5b = 22 ​

Answer 1

Answer:

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

Step-by-step 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

$a=\cfrac{26-5\times \:4}{3}$

$\cfrac{26-5\times \:4}{3}\:\:\boxed{a=2}$

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

~