Question

7. Solve the system: ( 4 points ) 3a−2b=1
7a−b=17
​
and show all step

Answer 1

a = 3, b = 4

Explanation:

`3a-2b=1\\7a-b=17\\\\`

Multiply second equation by 2

`3a-2b=1\\14a-2b=34\\`

Subtract the equations

`3a-2b=1\\-(14a-2b=34)\\\\-11a=-33\\a=3`

Plug back in to either original equation to solve for b

`3(3)-2b=1\\9-2b=1\\-2b=-8\\b=4`

Solution:

(3,4)