x - 2y + z = 5 | *2
⇒ 2x - 4y+ 2z=10
3x + 3y - 2z = - 6 } I sum up these relations
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2x+3x - 4y+3y+2z-2z=10-6
5x - y = 4 (1)
3x + 3y - 2z = - 6 | *3 ⇒ 9x + 9y - 6z = - 18
2x - y + 3z = 11 | *2 ⇒ 4x - 2y + 6z= 22 I sum up these
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⇒ 9x+4x+9y-2y-6z+6z= 4
13x+ 7y= 4 (2)
I write (1) and (2)
5x - y = 4 | *7
35x - 7y= 28
13x+7y=4
48x = 32
x= 32/48=4/6 ( 32:8=4, 48:8=6)
x= 2/3
5x-y=4,
5*2/3-y=4
y=10/3 -4=10/3-12/3=-2/3
⇒ y= - 2/3
x - 2y + z = 5
2/3 - 2*(-2/3)+z=5
2/3+4/3+z=5
6/3+z=5
2+z=5
z=3
x+y+z=2/3-2/3+3=3
x+y+z=3
Answer:
The amount of interest Coach Cliffman earned after 3 years is $108.
Step-by-step explanation:
The equation for simple interest is A = P(1 + rt). To determine the revenue earned, subtract the principal amount ($1800) from the total accured amount (principal + interest). The equation for simple interest is A = P(1 + rt), <em>P </em>meaning principal interest, <em>r</em> being the rate of interest per year in decimal form, and <em>t</em> as time in years.
Let P = $1800, r = .02, and t = 3 and you'll end up with a total accrued amount of $1908. Finally, subtract 1908-1800 to get your answer of $108.
3 - 1 = 2
1/4 - 3/16 = 4/16 - 3/16 = 1/16
answer is : 2 1/16 (in mixed number) or 33/16 (in improper fraction)
Answer:
I think it's the associative property of multiplication
Step-by-step explanation:
Figure B is 6 (2 ft • 2ft • 2ft)
Figure A is 120 (4ft • 10ft • 3ft)
