pete5
pete5
14-01-2016
Mathematics
contestada
3x+y-2z=22 x+5y+z=4 x=-3z
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taskmasters
taskmasters
14-01-2016
x = 6 ; y = 0 ; z = -2
3x + y - 2z = 22 ⇒ 3(6) + 0 -2(-2) = 22 ⇒ 18 + 4 = 22 ⇒ 22 = 22
x + 5y + z = 4 ⇒ 6 + 5(0) + (-2) = 4 ⇒ 6 - 2 = 4 ⇒ 4 = 4
x = -3z
3(-3z) + y - 2z = 22
-9z + y - 2z = 22
y - 11z = 22
y = 22 + 11z
x + 5y + z = 4
-3z + 5(22 + 11z) + z = 4
-2z + 110 + 55z = 4
53z = 4 - 110
53z = -106
z = -106/53
z = -2
x = -3(z)
x = -3(-2)
x = 6
y = 22 + 11z
y = 22 + 11(-2)
y = 22 - 22
y = 0
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