Question

Solve the system. Tell how many solutions the system has.-2x + 6y = 8x-3y=-3solution(s).The system has (select)(select)onenoinfinitely many

Answer 1

We have

-2x + 6y = 8 ...(1)

x-3y=-3 ....(2)

we need to solve the system of equations

we will multiplicate the second equation by 2

`2x-6y=-6`

then we sum the equation above with the first equation

`-2x+2x+6y-6y=8-6`

we sum similar terms, and we obtain

`0=2`

that's an inconsistency

so we don't have a solution

the answer is no