Question

determine the solution,if it exists,for each system of linear equation. Verify your solution on the coordinate plane. x + 3 = y 3x + 4y = 7

Answer 1

`\begin{gathered} \begin{bmatrix}x+3=y \\ 3x+4y=7\end{bmatrix} \\ \end{gathered}`
`\begin{gathered} x+3=y \\ x+3-3=y-3 \\ x=y-3 \end{gathered}`

then

`\begin{gathered} 3\mleft(y-3\mright)+4y=7 \\ 3y-9+4y=7 \\ 7y-9=7 \\ 7y-9+9=7+9 \\ 7y=16 \\ (7y)/(7)=(16)/(7) \\ y=(16)/(7) \end{gathered}`

replacing in x