Question

Solve this system of equations by substitution. Enter your answer as an ordered pair (x,y). Do not use spaces in your answer.

Answer 1

We have the following:

`\begin{gathered} y=-(1)/(2)x+4 \\ y=2x-1 \end{gathered}`

Solving by substitution

`\begin{gathered} -(1)/(2)x+4=2x-1 \\ 2x+(1)/(2)x=4+1 \\ (5)/(2)x=5 \\ x=(2\cdot5)/(5) \\ x=2 \end{gathered}`

Now for y

`\begin{gathered} y=2\cdot2-1=4-1=3 \\ \end{gathered}`

Therefore, the answer is:

`(2,3)`