Question

use the aleks graphing calculator to solve the system of equations.
0.6x - y = 3.25
2 - 0.5x = 0.1y
round to the nearest hundredth.
(x, y) = (□,□)

Explanation:

Step1: Rearrange first equation

$y = 0.6x - 3.25$

Step2: Rearrange second equation

$y = 20 - 5x$

Step3: Set equations equal

$0.6x - 3.25 = 20 - 5x$

Step4: Solve for $x$

$0.6x + 5x = 20 + 3.25$
$5.6x = 23.25$
$x = \frac{23.25}{5.6} \approx 4.58$

Step5: Substitute $x$ to find $y$

$y = 0.6(4.58) - 3.25 = 2.748 - 3.25 \approx -0.55$

Answer:

$(4.58, -0.55)$