Answer:
Combination; number of ways = 15.
Step-by-step explanation:
Given that there are 6 people in the contest. So it means n = 6.
Two winners each win gift cards. So it means r = 2.
Each gift card is same, so both persons are equally important. It means the order does not matter here, so it is the case of Combinations. We will use nCr formula.
Total number of ways = 6C2 = (6*5)/2 = 15.
Hence, Combination; number of ways = 15.
X²+4=29
Collect like terms
X²=29-4
X²=25
Take the square root of both sides to find the value of X
√X² = √25
X = 5
X - 4 =5 - 4=1
Answer: x=-7/2 y=29/2
Steps:
Use the elimination method
Multiply -3x+y=4 by 5 to make the coefficient next to the y in both equations the same
5(-3x+y=4)
-15x+5y=20
Then, subtract to eliminate the y
-15x+5y=20
- -9x+5y=-1
= -6x=21
Divide both sides by -6 to isolate x
= x= -7/2
Next substitute -7/2 into x in one of the equations
-3(-7/2)+y=4
-21/2+y=4
Add 21/2 from both sides to isolate y
y=29/2