Question

Solve the system of linear equations by eliminations-- 3x + 4y = 186x+2y = -6does thia system have a solution?

Answer 1

`\begin{gathered} 3x+4y=18 \\ 3x+y=-3 \\ \\ \text{After subtracting both equations we get} \\ 3y=21 \\ (3y)/(3)=(21)/(3) \\ y=7 \\ \\ \text{Put the value of Y on one of the initial equations} \\ 6x+2(7)=-6 \\ 6x+14=-6 \\ 6x+14(-14)=-6(-14) \\ 6x=-20 \\ (6x)/(6)=(-20)/(6) \\ x=-(10)/(3) \end{gathered}`