Question

Solve the system:

x-2y=1
y=x+2
Substitution Method
Please provide explanation, thanks!!

Answer 1

x=-5, y=-3

Explanation:

Given the system of two equations

`\left\{\begin{array}{l}x-2y=1\\y=x+2\end{array}\right..`

Substitute the second equation into the first one:

`x-2(x+2)=1,\\ \\x-2x-4=1,\\ \\x-2x=1+4,\\ \\-x=5,\\ \\x=-5.`

Then

`y=-5+2=-3.`