Question

Systems of equations homework

Answer 1

a) (2, -2)

`\begin{gathered} 3x+y=4 \\ 3(2)-2=4 \\ 6-2=4 \\ 4=4 \\ \text{and} \\ x-3y=-4 \\ 2-3(-2)=-4 \\ 2+6=-4 \\ 8=-4 \end{gathered}`

answer: the ordered pair is not a solution of the given system

b) ( -1, 5)

`\begin{gathered} -x+y=6 \\ -(-1)+5=6 \\ 1+5=6 \\ 6=6 \\ \text{and} \\ 2x+3y=13 \\ 2(-1)+3(5)=13 \\ -2+15=13 \\ 13=13 \end{gathered}`

answer: the ordered pair is a solution of the given system