Question

use the aleks graphing calculator to solve the system of equations.
$y = 2x - 5$
$y = -x + 5$
round to the nearest hundredth.
$(x, y) = (\square, \square)$

Explanation:

Step1: Set equations equal

Since \( y = 2x - 5 \) and \( y = -x + 5 \), set \( 2x - 5 = -x + 5 \).

Step2: Solve for x

Add \( x \) to both sides: \( 3x - 5 = 5 \).
Add 5 to both sides: \( 3x = 10 \).
Divide by 3: \( x = \frac{10}{3} \approx 3.33 \).

Step3: Find y

Substitute \( x \approx 3.33 \) into \( y = -x + 5 \):
\( y = -3.33 + 5 = 1.67 \).

Answer:

\((3.33, 1.67)\)