Question

use the aleks graphing calculator to solve the system of equations.
$5 - 0.7x = 0.2y$
$-y + 0.4x = 1.8$
round to the nearest hundredth.
$(x,y) = (,)$

Explanation:

Step1: Rewrite equations in slope-intercept form

First equation:
$5 - 0.7x = 0.2y$
$y = \frac{5 - 0.7x}{0.2} = 25 - 3.5x$

Second equation:
$-y + 0.4x = 1.8$
$y = 0.4x - 1.8$

Step2: Set equations equal to each other

$25 - 3.5x = 0.4x - 1.8$

Step3: Solve for $x$

$25 + 1.8 = 0.4x + 3.5x$
$26.8 = 3.9x$
$x = \frac{26.8}{3.9} \approx 6.87$

Step4: Substitute $x$ to find $y$

$y = 0.4(6.87) - 1.8$
$y = 2.748 - 1.8 \approx 0.95$

Answer:

$(x, y) = (6.87, 0.95)$