Question

solve the system of equations:$10x - 9y = 24$$y = x - 2$$x = \square$$y = \square$

Explanation:

Step1: Substitute $y=x-2$ into first equation

$10x - 9(x - 2) = 24$

Step2: Expand and simplify the equation

$10x - 9x + 18 = 24$
$x + 18 = 24$

Step3: Solve for $x$

$x = 24 - 18$
$x = 6$

Step4: Substitute $x=6$ into $y=x-2$

$y = 6 - 2$
$y = 4$

Answer:

$x = 6$
$y = 4$