How do you solve $2 x + 9 y = - 2$ $2x+9y=-2$ , $x + 2 y + 3 z = 0$ $x+2y+3z=0$ , and $- y + z = 1$ $-y+z=1$ using matrices?

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Answer 1 · 2017-01-27T22:31:20

I found:
$x = 17$ $x=17$
$y = - 4$ $y=-4$
$z = - 3$ $z=-3$

I used a matrix method normally called Cramer´s Method:
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To find $z$ $z$ we can simply use the third equation with the value of $y$ $y$ found in step 2:
$- (- 4) + z = 1$ $-(-4)+z=1$
$z = - 3$ $z=-3$

Hope it helps!

How do you solve 2x+9y=−22x+9y=-2, x+2y+3z=0x+2y+3z=0, and −y+z=1-y+z=1 using matrices?