Xy = 8
x + y = 6
x + y = 6
x - x + y = -x + 6
y = -x + 6
xy = 8
x(-x + 6) = 8
x(-x) + x(6) = 8
-x² + 6x = 8
-x² + 6x - 8 = 0
-1(x²) - 1(-6x) - 1(8) = 0
-1(x² - 6x + 8) = 0
-1 -1
x² - 6x + 8 = 0
x² - 4x - 2x + 8 = 0
x(x) - x(4) - 2(x) + 2(4) = 0
x(x - 4) - 2(x - 4) = 0
(x - 2)(x - 4) = 0
x - 2 = 0 or x - 4 = 0
+ 2 + 2 + 4 + 4
x = 2 or x = 4
x + y = 6
2 + y = 6
- 2 - 2
y = 4
(x, y) = (2, 4)
or
x + y = 6
4 + y = 6
- 4 - 4
y = 2
(x, y) = (4, 2)
The two numbers that add up to 6 and multiply to 8 are 4 and 2.
Answer:
1/105
Step-by-step explanation:
Total Marbles= 2+6+7=15
2/15 * 1/14 = 2/210 = 1/105
(It becomes 1/14 since you take out own red marble)
Slot method
10 choices for 1st slot
9 for 2nd
8 for 3rd
10*9*8=720
720 ways
By the difference of "5 and a number", I assume you mean that number minus 5. In that case, the expression is 8 times (x-5).
If by "the difference of 5 and a number" you mean 5 minus that number, then the expression is 8 times (5-x).
