Question

The Substitution MethodSolve the following system of equations with the SUBSTITUTION METHOD.Write your answer as an Ordered Pair.If infinitely many solutions exist, enter 0 (00).If no solution exists, enter DNESystem of EquationsSolution5x + y = 1363 – 4y = 26

Answer 1

We want to solve the following system

`\begin{cases}5x+y=13 \\ 63-4y=26\end{cases}`

First, we're going to solve the second equation for one of the variables.

`\begin{gathered} 63-4y=26 \\ -4y=26-63 \\ -4y=-37 \\ y=(37)/(4) \end{gathered}`

Then, we're going to substitute (plug-in) this expression into the other equation and solve.

`\begin{gathered} 5x+((37)/(4))=13 \\ 5x=13-(37)/(4) \\ 5x=(52-37)/(4) \\ 5x=(15)/(4) \\ x=(3)/(4) \end{gathered}`

And this is our solution.

`((3)/(4),(37)/(4))`