Question

solve using determinants:
$x + 4y - z = -14$
$5x + 6y + 3z = 4$
$-2x + 7y + 2z = -17$
$|a| = -120$ (marked with x initially, correct value -120)
$|a_x| = -240$ (checked correct)
$|a_y| = 360$ (checked correct)
$|a_z| = -480$ (checked correct)
$x = \square$ $y = \square$ $z = \square$
(also has matrix calculator section with matrices, operation, etc.)

Explanation:

Step1: Recall Cramer's Rule

$x=\frac{|A_x|}{|A|}, y=\frac{|A_y|}{|A|}, z=\frac{|A_z|}{|A|}$

Step2: Calculate x

$x=\frac{-240}{-120}=2$

Step3: Calculate y

$y=\frac{360}{-120}=-2$

Step4: Calculate z

$z=\frac{-480}{-120}=4$

Answer:

x = 2, y = -2, z = 4