Answer:
-1
Step-by-step explanation:
The given equation has a y-intercept of 8, so goes through the point (0, 8).
If the line also goes through the point (2, 6) it has a slope of ...
(y2 -y1)/(x2 -x1) = (6 -8)/(2 -0) = -2/2 = -1
The slope of the line is -1.
_____
The value of A is -2.
The three girls will receive 1/6 pound of candy each.
Step-by-step explanation: 1/2 divided by 3 = 1/6
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:
In the picture
Step-by-step explanation:
I hope that it's a clear explanation.
20x - 30y = -50 ⇒ 20x - 30y = -50
x + 2y = -1 ⇒ <u>20x + 40y = -20</u>
<u>-70y</u> = <u>-30</u>
-70 -70
y = ³/₇
20x - 30(³/₇) = -50
20x - 12⁶/₇ = -50
<u> + 12⁶/₇ + 12⁶/₇
</u> <u>20x</u> = <u>47¹/₇
</u> 20<u /> 20<u>
</u> x = 2⁷/₂₀
(x, y) = (2⁷/₂₀, ³/₇)
