(1) 3x+2y=12
(2) -4x+6y=24
Solving the system of equations using the method of substitution:
Isolating y in the first equation:
(1) 3x+2y=12→3x+2y-3x=12-3x→2y=12-3x→2y/2=(12-3x)/2→y=(12-3x)/2
Replacing "y" by (12-3x)/2 in the second equation:
(2) -4x+6y=24
y=(12-3x)/2→-4x+6[(12-3x)/2]=24
Solving for x:
-4x+3(12-3x)=24
-4x+36-9x=24
-13x+36=24
-13x+36-36=24-36
-13x=-12
-13x/(-13)=-12/(-13)
x=12/13
Replacing "x" by 12/13 in y=(12-3x)/2
x=12/13→y=[12-3(12/13)]/2
y=(12-36/13)/2
y={[(13)(12)-36]/13}/2
y=[(156-36)/13]/2
y=(120/13)/2
y=(120/13)(1/2)
y=60/13
x=12/13; y=60/13
-x+2y=-12/13+2(60/13)
-x+2y=-12/13+120/13
-x+2y=(-12+120)/13
-x+2y=108/13
Answer: The value of -x+2y is 108/13
Answer:
36,960
Step-by-step explanation:
multiply 5280 by 7
Answer:
I can infer that each slice is exactly the same size.
Step-by-step explanation:
If the pie is divided evenly into thirds, then each slice is the exact same size.
1.) Let the required number be x, then
0.0001x = 9.99
x = 9.99/0.0001 = $99,900 ≈ $100,000
2.) Online Bank, Credit Union, Traditional Bank
3.) Use a budget to determine how much you can save, then automate the savings by direct depositing that amount from each paycheck
4.) True
5.) Deposit into a CD earning 2% interest