Question

Solving systems with subtraction

Answer 1

We have the following system of linear equations:

`\begin{gathered} y-5=x \\ x=-2-y \end{gathered}`

We can take the first equation, and express y in terms of x:

`y=x+5`

Now we can plugin y in the second equation and solve for x:

`\begin{gathered} x=-2-(x+5) \\ x=-2-x-5 \\ x+x=-2-5 \\ 2x=-7 \\ x=-(7)/(2) \end{gathered}`

We take the first equation y = x+5, replace x and find y:

`\begin{gathered} y=-(7)/(2)+5 \\ y=(3)/(2) \end{gathered}`

Answer: (-7/2, 3/2)