Answer:
(3,-3)
y= -3
x= 3
Step-by-step explanation:
5x+2y=9
2x-3y=15
solve the equation
x=9/5-2/5y
2x-3y=15
substitute the value of x into an equation
2(9/5-2/5y)-3y=15
distribute
18/5-4/5y-3y=15
subtract -4/5 to -3
18/5-19/5y=15
subtract 18/5 from both sides
-19/5=57/5
divide both sides by -19/5
y= -3
substitute the value of y into an equation
x=9/5-2/5(-3)
distribute
x=9/5+6/5
add 9/5 to 6/5
x=3
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(3,-3)
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The answer for 6x+2=14 is x=2.
So basically you're dividing 12 by 3 times x which is 12 over 3x. 12/3x
Answer:
Explanation:
Number the sides of the decagon: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, from top (currently red) clockwise.
- The side number one can be colored of five different colors (red, orange, blue, green, or yellow): 5
- The side number two can be colored with four different colors: 4
- The side number three can be colored with three different colors: 3
- The side number four can be colored with two different colors: 2
- The side number five can be colored with the only color left: 1
- Each of the sides six through ten can be colored with one color, the same as its opposite side: 1
Thus, by the multiplication or fundamental principle of counting, the number of different ways to color the decagon will be:
- 5 × 4 × 3 × 2 ×1 × 1 × 1 × 1 × 1 × 1 = 120.
Notice that numbering the sides starting from other than the top side is a rotation of the decagon, which would lead to identical coloring decagons, not adding a new way to the number of ways to color the sides of the figure.
Answer:
yes
Step-by-step explanation:
because the cost stays the same and you would multiply blank gallons of gas by 1.50 every time so it is proportional. For example: it would be $1.50 to 1 gallon, $3 to 2 gallons, $4.50 to 3 gallons and would keep going like that, adding the same amount every time
