Answer:
2 3/4
Step-by-step explanation:
I think is the right answer hope it helps
Answer: Correct two digit number= 24
Step-by-step explanation:
Let
x= tens digit (wrong one)
and y= zeroes digit
and z= tens digit (right one)
Now according to the statement,
(10x+y)² - (10z+y)² = 2340
Simplifying this we get
(x-z)(5x+y+5z)= 117= 1 * 3 * 3 * 13
So it could either be
x-z=1 or x-z=3
If we take the x-z=1
then 5x+y+5z=117
which is not possible as maximum value we can get from this is 99.
This leaves us with x-z=3
so 5x+y+5z= 39
Put x=3+z
We get,
y+10z= 24
Now as y and z both are single digits so the only possible numbers to fit these are y=4 and z=2.
Put z=2 in x=3+z , we get x=5
So the numbers become 10x+y= 54
and 10z+y= 24
Their sum is 54+24=78
Check
54²-24²= 2340 so it is correct.
The correct answers are:
- The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
- The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
Further explanation:
Given equations are:
2x-y = -5
x+3y = 22
We have to check whether the given statements are true or not. In order to find that we have to put the points in the equations
Putting the point in 2x-y = -5
![2x - y = -5\\2(7) -19 = -5\\14-19 = -5\\-5 = -5](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%20-5%5C%5C2%287%29%20-19%20%3D%20-5%5C%5C14-19%20%3D%20-5%5C%5C-5%20%3D%20-5)
Putting the point in x+3y=22
![7 + 3 (19) = 22\\7 + 57 = 22\\64 \neq 22](https://tex.z-dn.net/?f=7%20%2B%203%20%2819%29%20%3D%2022%5C%5C7%20%2B%2057%20%3D%2022%5C%5C64%20%5Cneq%2022)
The point satisfies the first equation but doesn't satisfy the second. So,
1. The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
This statement is true as the point satisfies the first equation
2. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
This Statement is false.
3. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
This statement is true.
4. The ordered pair (7, 19) is a solution to the system because it makes both equations true.
This statement is false as the ordered pair doesn't satisfy both equations.
Keywords: Solution of system of equations, linear equations
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Answer:
on the second one you put 5 basketballs and four baseballs
on the third one you in think your gonna put the same thing as the first one
I am not sure about the last sorry in advance