Decide whether the ordered pair is a solution of the given system.
-$$\begin{array} { l }
( 2,5 ) \
y = x ^ { 2 } + 2 x - 3 \
y = 4 x - 4
\end{array}$$

Question

Decide whether the ordered pair is a solution of the given system.
-$$\begin{array} { l } 
( 2,5 ) \
y = x ^ { 2 } + 2 x - 3 \
y = 4 x - 4
\end{array}$$

Quizplus · Accepted Answer

Substituting $x = 2$ into both equations, for the first equation $y = 2^2 + 2(2) - 3 = 4 + 4 - 3 = 5$, and for the second equation $y = 4(2) - 4 = 8 - 4 = 4$. Since the y-values do not match (5 vs. 4), the ordered pair (2,5) is not a solution to the given system.

Decide Whether the Ordered Pair Is a Solution of the Given