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3x+2y-z+5w=20
y=2z-3w
z=w+1
2w=8
Solve this system.


Sagot :

Start from the last equation:

2w = 8   ⇒   w = 4

z = w + 1   ⇒   z = 4 + 1   ⇒   z = 5

y = 2z - 3w   ⇒   y = 2•5 - 3•4   ⇒   y = -2

3x + 2y - z + 5w = 20   ⇒   3x + 2•(-2) - 5 + 5•4 = 20

⇒   3x = 9   ⇒   x = 3

Step-by-step explanation:

or , w = 8/2

or , w = 4

i think this is the answer