Question

Solve the system...................​

Answer 1

first option

(8, -1)

Explanation:

We have the following system of linear equations

`\left \{{{x+6y=2} \atop {5x+4y=36}} \right.`

To solve the system multiply the first equation by -5 and then add it to the second equation.

`-5*(x+6y)=2*(-5)`

`-5x -30y=-10\\5x+4y=36`

-----------------

`-26y = 26`

`y = -1`

substitute
`y = -1` in any of the two equations and then solve for x

`5x+4(-1)=36\\5x-4=36\\5x = 36+4\\5x = 40\\`

`x =8`

The answer is the first option

(8, -1)