The common point between y = 2x + 5 and y = (1/2)x + 6 will have the same values for x and y.
Therefore, set the two y expressions equal to obtain
2x + 5 = (1/2)x + 6
Subtract (1/2)x from each side.
(3/2)x + 5 = 6
Subtract 5 from each side.
(3/2)x = 1
Multiply each side by 2/3.
x = 2/3.
From the first equation, obtain
y = 2*(2/3) + 5 = 19/3.
The common point is (2/3, 19/3). It is not equal to (3, 1/2).
Answer: False
Answer:
6610
Step-by-step explanation:
Move the decimal 2 spots to the right and add 2 zeros more behind the 528.8
so its becomes 8 divide what that number is
1/4 (4/6 - 3/12) = 1/4 (5/12) = 5/48
First sequence with common difference:
8-x=y-8
Second sequence:
20-y=y-x
Solving two simultaneous equations:
x=16-y
20-y=y-16+y
y=12
x=4
Answer:
Detailed solution is given in the diagrams attached:
