Question

Solve system of equations by substution { y=3x+19{ y=5x+33

Answer 1

Given:

`\begin{gathered} y=3x+19\ldots\ldots\ldots(1) \\ y=5x+33​\ldots\ldots\ldots(2) \end{gathered}`

To solve: The system of equations by substitution

Step-by-step explanation:

Substituting equation (1) in equation (2), we get

`\begin{gathered} 3x+19=5x+33 \\ 3x-5x=33-19 \\ -2x=14 \\ x=-7 \end{gathered}`

Substitute the x value in equation (1), we get

`\begin{gathered} y=3(-7)+19 \\ y=-21+19 \\ y=-2 \end{gathered}`

Final answers: The solutions are,

`\begin{gathered} x=-7 \\ y=-2 \end{gathered}`