Question

Help Solve the system by substitution.
y=x-1
y=-2x+5
Could you show me how to these types of problems?
Thanks

Answer 1

\[y=x-1\]
\[y=-2x+5 \implies -2x+5 = x-1\]
\[-2x+5 = x-1\]
\[-x+5 = -1\]
\[-x = -6\]
\[x = 6\]

Can you go from there?

Answer 2

Hint: You need to solve for \(y\).

Answer 3

So from where you left it I would replace x for 6 in the original equation?

Answer 4

Oops, I made an error \(x = 2\) sorry, I am a bit sleeply.
Yes, you now insert \(x\) into the original equation.
\[y=2-1\]
\[y=1\]
\[1=-2(2)+5\]
\[1=-4+5\]
\[1=1\]

Answer 5

I think I understand how to do these now. Thank you for the help.

Answer 6

Yeah, they tend to be easy, it's just late where I live so I made a mistake, sorry :-P.