Question

Which ordered pairs are a solution to y= x-2? Check all that apply. (2,-5) (1,-1) (-1,1) (2,0) (0,2)

Answer 1

ANSWER:

(1,-1) and (2,0)

STEP-BY-STEP EXPLANATION:

We have the following equation:

$y=x-2$

We must replace each ordered pair and if the result is true that is the solution of the equation, like this:

$\begin{gathered} (2,-5)\rightarrow-5=2-2\rightarrow-5=0\rightarrow\text{ False} \\ \\ (1,-1)\operatorname{\rightarrow}-1=1-2\operatorname{\rightarrow}-1=-1\operatorname{\rightarrow}\text{ True} \\ \\ (-1,1)\operatorname{\rightarrow}1=-1-2\operatorname{\rightarrow}1=-3\operatorname{\rightarrow}\text{ False} \\ \\ (2,0)\operatorname{\rightarrow}0=2-2\operatorname{\rightarrow}0=0\operatorname{\rightarrow}\text{ True} \\ \\ (0,2)\operatorname{\rightarrow}2=0-2\operatorname{\rightarrow}2=-2\operatorname{\rightarrow}\text{ False} \end{gathered}$

Therefore, the ordered solution pairs are (1,-1) and (2,0)