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.
Answer:
1. X axis, 8, 3
2. Y axis, 4,-9
Step-by-step explanation:
The rule of reflections that the place opposite of the axis is negative so:
The rule for x-axis reflection is (x,-y)
The rule for y-axis is (-x,y)
For the first one, x has remained the same, so that means it’s a x-axis reflection.
So change -3 to 3
Same for the next one.
-9 is not changed so that means it’s a y-axis reflection.
And the point is 4,-9
Mike's withdrawals will be treated as negative numbers.
Since Mike withdrew $60 three times, use the following equation to find the change in his balance:
The change in Mike's account balance will be
-$180.
Answer:
324
Step-by-step explanation:
