X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
8(1 - 5y) - 2y = 3
8 - 40y - 2y = 3
8 - 42y = 3
42y = 5
y = 5/42
x = 1 - 5(5/42) = 1 - 25/42 = 17/42.
Solution 2.
Multiply (1) by 8, to get:
8x + 40y = 8 . . . . . (3)
(3) - (2) = 40y - (-2y) = 8 - 3
42y = 5
y = 5/42
substitute for y into (3), to get:
8x + 40(5/42) = 8
8x + 100/21 = 8
8x = 8 - 100/21 = 68/21
x = (68/21)/8 = 17/42
Answer:
1556
Step-by-step explanation:
389 times 4 is 1556
Given:
length 30 inches
k = 24
v = l * w * h
volume varies directly w/ the length: v = kl
v = 24 * 30 = 720
k = wh
24 = wh
w = 24/h or h = 24/w
P = 2w + 2h
20 = 2w + 2h
20 = 2(24/h) + 2h
20 = 48/h + 2h
48/h + 2h - 20 = 0
h(48/h + 2h - 20) = 0
48 + 2h² - 20h = 0
2h² - 20h + 48 = 0
2(h² - 10h + 24) = 0
2(h - 6)(h - 4) = 0
h = 6 or h = 4
Since the height serves as the length in the perimeter equation, then its measure is 6 and width is 4.
length = 30 ; width = 4 ; height = 6.
Answer:
y = -2
Step-by-step explanation:
y = 3 * (-3) + 7
y = -9 + 7
y = -2
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