Question

use the aleks graphing calculator to solve the system of equations.
y=2x+1
y=9x-4
round to the nearest hundredth.
(x,y) = (□,□)

Explanation:

Step1: Set equations equal

Since \( y = 2x + 1 \) and \( y = 9x - 4 \), set \( 2x + 1 = 9x - 4 \).

Step2: Solve for \( x \)

Subtract \( 2x \) from both sides: \( 1 = 7x - 4 \).
Add 4 to both sides: \( 5 = 7x \).
Divide by 7: \( x = \frac{5}{7} \approx 0.71 \).

Step3: Find \( y \)

Substitute \( x \approx 0.71 \) into \( y = 2x + 1 \):
\( y = 2(0.71) + 1 = 1.42 + 1 = 2.42 \).

Answer:

\((0.71, 2.42)\)