Question

Use the substitution method to solve the linear system given. Express the answer as an ordered pair of the form (x,y)
x + y = 5
2x + y = 6

Answer 1

\(x+y=5\\2x+y=6\\\downarrow\\\color{blue}{x=5-y}\)

plug that into the second equation

\(2(\color{blue}{x})+y=6\\2(\color{blue}{5-y})+y=6\\10-2y+y=6\\10-y=6\\y=4\)

plug that back into either equation to find \(x\)

\(x=5-y=5-4=1\)

so our solution is \((1,4)\).