Answer:
x=-1
y=4
z=7
Step-by-step explanation:
3x + y - z= -6(1)
2x - y + 2z = 8(2)
4x + y - 3z = -21(3)
(1)+(2): 5x+z=2(4)
(2)+(3): 6x-z=-13(5)
(4)+(5): 11x=-11
x=-1
so z=2-5x=7
y=-6-3x+z=4
Answer:
Week 4
Step-by-step explanation:
Ben has $250 in the beginning. He saves $150 per week.
y = 150x + 250
Tim has $1,650 in the beginning. He spends $200 per week.
y = 1650 - 200x
We are trying to find which x-value produces the same y-value for both equations. You can do this by setting both equations equal to each other.
150x + 250 = 1650 - 200x
(150x + 250) + 200x = (1650 - 200x) + 200x
350x + 250 = 1650
(350x + 250) - 250 = (1650) - 250
350x = 1400
(350x)/350 = (1400)/350
x = 4
By week 4, they will have the same amount of money.
2(x+2)=3(x-3)
2x+4=3x-9
2x=3x-13
-x=-13
x=13
The number is 13
Let the given complex number
z = x + ix = 
We have to find the standard form of complex number.
Solution:
∴ x + iy =
Rationalising numerator part of complex number, we get
x + iy = 
⇒ x + iy = 
Using the algebraic identity:
(a + b)(a - b) = 
- 
⇒ x + iy = 
⇒ x + iy = 
[ ∵ 
]
⇒ x + iy = 
⇒ x + iy = 
⇒ x + iy = 
⇒ x + iy = 1 - i
Thus, the given complex number in standard form as "1 - i".
