Let the three numbers be x, y, and z.
If the sum of the three numbers is 3, then x+y+z=3
If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9
If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5
This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5
First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3
Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4
Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2
So the three numbers are 2,-3, and 4.
Your first step when subtracting integers is (d) subtract the numbers
<h3>How to determine the first step?</h3>
The operation is given as:
Subtraction operation
Assume that the operation is a simple expression that involves subtraction, such as:
a - b
The first step is to subtract the numbers
Hence, your first step when subtracting integers is (d) subtract the numbers
Read more about subtraction at:
brainly.com/question/17301989
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Answer:
-2
Step-by-step explanation:
find rise over run with y1-y2/x1-x2 = -2/1 = -2
Answer:
1 hour = 7/18 of the distance between two ports
Step-by-step explanation:
Given that:
In 3/7 hours distance traveled is 1/6
For finding distance in one hour, divide both sides by 7/3 so that 3/7 would be cancelled out:
3/7 * 7/3 hours = 1/6 * 7/3 distance
By simplifying:
1 hour = 7/18 of the distance between two ports
This means that in one hour 7/18 of the distance is covered between two ports.
i hope it will help you!
Answer:
160 degrees
Step-by-step explanation:
Step 1: A straight line is 180 degrees. So 180 - 100, is 80 degrees. as the opposite angle measurement of the 100 degree.
Step 2: An isosceles triangle has two equal angle measurements, so two of its angles are 80 degrees.
Step 3: All angles in a triangle equal 180 degrees. So add them up (we will call the missing angle, Z) 180 = 80+80+Z. which equals 180= 160+z
Step 4: Solve it. You subtract 160 from both side which comes out to 20 = Z.
Step 5: Now you have the opposite angle of X. Going back to step 1, A straight angle is 180 degrees. 180 - 20 = 160. X = 160 degrees