Solve the system graphically.
-$$\begin{array} { l }
y = x ^ { 2 } + 4 x - 3 \
y = 5 x + 3
\end{array}$$
A) $\approx ( 3.00,19.50 )$ and $( - 2.00 , - 7.00 )$
B) $\approx ( 3.00,18.00 )$
C) $\approx ( 3.00,18.00 )$ and $( - 2.20 , - 7.00 )$
D) $\approx ( 3.00,18.00 )$ and $( - 2.00 , - 7.00 )$

Question

Solve the system graphically.
-$$\begin{array} { l } 
y = x ^ { 2 } + 4 x - 3 \
y = 5 x + 3
\end{array}$$
A) $\approx ( 3.00,19.50 )$ and $( - 2.00 , - 7.00 )$
B) $\approx ( 3.00,18.00 )$
C) $\approx ( 3.00,18.00 )$ and $( - 2.20 , - 7.00 )$
D) $\approx ( 3.00,18.00 )$ and $( - 2.00 , - 7.00 )$

Quizplus · Accepted Answer

To solve the system graphically, we set the two equations equal to each other and solve for $x$: $x^2 + 4x - 3 = 5x + 3$. Rearranging gives $x^2 - x - 6 = 0$, which factors to $(x - 3)(x + 2) = 0$, giving $x = 3$ and $x = -2$. Substituting these values back into either original equation (e.g., $y = 5x + 3$) gives the points $(3, 18)$ and $(-2, -7)$.

Solve the System Graphically y=x2+4x−3y=5x+3\begin{array} { l } y = x ^ { 2 } + 4 x - 3 \\y = 5 x + 3\end{array}y=x2+4x−3y=5x+3​

Solve the System Graphically $\begin{array} { l } y = x ^ { 2 } + 4 x - 3 \\y = 5 x + 3\end{array}$