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
This question is incomplete
Complete Question
Mr Sampson fills the family pool with water for the summer.After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.If the relationship between time and water depth is proportional,what is the constant of proportionality?
Answer:
1.33
Step-by-step explanation:
Time is proportional to Depth
Hence:
T ∝ D
T = kD
Where k is the constant of proportionality
After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.
Total number of hours now is 3 + 2 = 5 hours
5 = k × 3 3/4
5 = k × 3.75
k = 5/3.75
k = 1.33
Answer:
Point D
Step-by-step explanation:
Answer:
80°
Step-by-step explanation:
Triangle ABC and CYZ are similar so the angles would also be same
