Question

use the aleks graphing calculator to solve the system of equations.
y=2x-3
y=11x-4
round to the nearest hundredth.
(x,y) = (□,□)

Explanation:

Step1: Set equations equal

Since \( y = 2x - 3 \) and \( y = 11x - 4 \), set \( 2x - 3 = 11x - 4 \).

Step2: Solve for x

Subtract \( 2x \) from both sides: \( -3 = 9x - 4 \).
Add 4 to both sides: \( 1 = 9x \).
Divide by 9: \( x = \frac{1}{9} \approx 0.11 \).

Step3: Find y

Substitute \( x \approx 0.11 \) into \( y = 2x - 3 \):
\( y = 2(0.11) - 3 = 0.22 - 3 = -2.78 \).

Answer:

\((0.11, -2.78)\)