<span>6x – 7y = 16
2x + 7y = 24
This system is easily solvable by the elimination method as the y-terms are opposites of each other. You may add the two equations together and they will cancel out.
</span> 6x – 7y = 16
2x + 7y = 24
+___________
8x – 0 = 40
8x = 40
x = 5
Substitute 5 for x into either of the above equation and solve algebraically for y.
2x + 7y = 24
2(5) + 7y = 24
10 + 7y = 24
7y = 14
y = 2
Check work by plugging both x- and y-values into each original equation.
6x – 7y = 16 => 6(5) – 7(2) = 16 => 30 – 14 = 16
2x + 7y = 24 => 2(5) + 7(2) = 24 => 10 + 14 = 24
Answer:
x = 5; y = 2
(5, 2)
<u>ANSWER: </u>
Jack picked 10 ears of corn. The amount of corn left is
ears of initial corn.
<u>SOLUTION:
</u>
Given, Jack picked 10 ears of corn.
Now the total corn present is 10 ears.
He and two of his sisters ate two each.
Then, remaining corn = 10 ears – eaten corn
= 10 – 2 (by him) – 2 (by his first sister) -2 (by his second sister)
= 10 – 6 = 4
Now, the amount of corn left in fraction is remaining corn divided by initial corn.
Left over corn = 

Hence, the amount of corn left is
ears of initial corn.
Answer:False, there are 204!
Step-by-step explanation:
If the distribution is uniform between 6 and 12, the probability of being less than 99 is 1 (certainty).
_____
Perhaps you intend to find the probability that the loss is less than 9 pounds. That value is
... (9 - 6)/(12 - 6) = 3/6 = 1/2