Solve the system of equations using matrices. use gaussian elimination with back-substitution.
3x + 5y - 2w = -13
2x + 7z - w = -1
4y + 3z + 3w = 1
-x + 2y + 4z = -5
a. {(-1, -1 , 0, )}
b. {(1, -2, 0, 3)}
c. {( , -2, 0, )}
d. {( , - , 0, )}

Answer with explanation:

The given system of equation are

     3x + 5y - 2w = -13

   2x + 7z - w = -1

 4y + 3z + 3w = 1

 -x + 2y + 4z = -5

Writing the system of equation in terms of Augmented Matrix

→432 z=0

z=0

⇒117 z-3 w=-9

-3 w=-9

Dividing both sides by -3

w=3

⇒-10 y+21z+w=23

-10 y+0+3=23

-10 y=23-3

-10 y= 20

y=-2

⇒3 x+5 y-2w=-13

3 x+5 ×(-2)-2 ×3= -13

3 x-10-6= -13

3 x=16-13

3 x=3

x=1

Option B. {(1, -2, 0, 3)}

no pictures of the graph

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2