Answer:
Step-by-step explanation:
-2x + 3y – 4z = 8 ----------------(I)
5x – 3y + 5z = -8 -----------------(II)
7x – 3y + 3z = 8 ------------------(III)
Add equation (I) & (II) and thus y will be eliminated
(I) -2x + 3y – 4z = 8
(II) <u>5x – 3y + 5z = -8</u> {Add}
3x + z = 0 ------------------------(A)
Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.
(II) * (-1) -5x + 3y - 5z = +8
<u>7x – 3y + 3z = 8</u> {Add}
2x -2z = 16 ---------------(B)
Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x
(A) * 2 6x + 2z = 0
(B) <u>2x - 2z = 16</u> {Add}
8x = 16
Divide both sides by 8
x = 16/8
x = 2
Plugin x = 2 in equation (A)
3x + z = 0
3*2 + z = 0
6 + z = 0
z = -6
Plug in x = 2 and z = - 6 in equation (I)
-2x +3y - 4z = 8
-2*2 + 3y - 4*(-6) = 8
-4 + 3y + 24 = 8
3y + 20 = 8
3y = 8 - 20
3y = -12
y = -12/3
y = -4
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Answer:
9
Step-by-step explanation:
Answer:
2 (3 - 7 r)
Step-by-step explanation:
Simplify the following:
-4 (3 r - 2) - 2 (r + 1)
-4 (3 r - 2) = 8 - 12 r:
8 - 12 r - 2 (r + 1)
-2 (r + 1) = -2 r - 2:
-12 r + -2 r - 2 + 8
Grouping like terms, -2 r - 12 r - 2 + 8 = (8 - 2) + (-12 r - 2 r):
(8 - 2) + (-12 r - 2 r)
-12 r - 2 r = -14 r:
-14 r + (8 - 2)
8 - 2 = 6:
6 - 14 r
Factor 2 out of 6 - 14 r:
Answer: 2 (3 - 7 r)
Each folder must have 10 pages
!0 papers times 3 folders is 30
plus the 7 pages equals 37
You move the decimal 3.4, 2 places to the right and get 340 then you move the decimal 4.37, 2 placeto the right and you multiply 340 and 437 and you get 14858 and you move 3 decimal place to the left because you moved 3 decimal place so you have to move it back and you get 14.858
