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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Group together the like terms (plus 2x with 2x) (subtract 10 by 6)
4x+4=36
Move plus four to the other side as a negative
4x=32
Divide both sides by 4
32 divided by 4 is 8
Therefore, x is equal to 8
Answer:
74.2899408284 meters
Step-by-step explanation:
2.7 : 1.69
x : 46.5
46.5/1.69=27.5147928994
27.5147928994*2.7=74.2899408284
Answer:
34
Step-by-step explanation:
We are here given a modulus expression and we need to find out the value when m = -5 and n = 3 .
<u>Modulus</u><u> </u><u>:</u><u>-</u> It always gives positive value . For example ,
<u>The </u><u>given</u><u> </u><u>modulus </u><u>expression</u><u> is</u><u> </u><u>:</u><u>-</u><u> </u>
As the number inside the modulus operator are already squared therefore they will always give positive value for real numbers . Here we can omit the modulus .
Plug in the given values ,
Solve 5² and 3² and add them ,
On adding ,
Therefore ,
<u>Hence</u><u> the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>34</u><u> </u><u>.</u>
Answer:
20%
Step-by-step explanation:
First we find the actual dollar amount of the discount.
$65.50 - $52.40 = $13.10
Now we need to find what percent of $65.50 is $13.10.
To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.
percent = part/whole * 100%
percent = $13.10/$65.50 * 100% = 20%
Answer: 20%
