Let us assume the first number to be = x
Let us assume the second number to be = y
Then
x^2 - y^2 = 5
x^2 = y^2 + 5
And
3x^2 - 2y^2 = 19
Multiplying the first equation by -2, we get
- 2x^2 + 2y^2 = - 10
Now subtracting the two equations, we get
x^2 = 9
x = 3
Putting the value of "x" in the first equation, we get
(3)^2 - y^2 = 5
9 - y^2 = 5
y^2 = 4
y = 2
I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.
Answer:
Option: 
Step-by-step explanation:
<u>Looking for key words in the problem:</u>
"At Most" represents important key words, meaning the maximum amount of hotdogs that are at the barbecue.
<u>Inequality:</u>
h 
16 represents the maximum amount of hotdogs that has to be at the barbecue, also represents less than 16 can be cooked.
Answer:
Step-by-step explanation:
y - 3 = (-1/2)(x - 2)
Solve 8x-4y+9=0 for y so as to find the slope of this given line:
8x + 9 = 4y, or y = 2x + 9/4. The slope of the given line is 2. The slope of any line perpendicular to this one is the negative reciprocal of 2, which is -1/2.
Use the point-slope formula: y - k = m(x - h ). (h, k) is (2, 3) and m is -1/2.
Then we have: y - 3 = (-1/2)(x - 2)
