Answer: The answer is D
Step-by-step explanation:
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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Put the value of the letters with " over the original
So for A we have 3 in the front and 4.5 for A"
4.5/3 = 1.5
We can check if this is actually the scale factor but using the other numbers
The second numbers for A and A" are 6 and 9
6 * 1.5 = 9
So for point A it is 1.5
Use the same thing for G. That gives you 2
For B, you get 0.5
So the scale factors are 1.5, 2, and 0.5
8-4x-7=5x+30-2
combine like terms
1-4x=5x+28
-27=9x
divide both sides by nine
-3=x
C is the answer to that question i think
