20 POINTS!!!
1 answer:
Try graphing using the x-intercept and y-intercept.
-15x - 5y = 45
Put in x = 0 to get -5y = 45, making y = -9. Point (0, -9) is on the line.
Put in y = 0 to get -15x = 45, making x = -3. Point (-3, 0) is on the line.
-2x + 6y = 6
Put in x = 0 to get 6y = 6, making y = 1. Point (0, 1) is on the line.
Put in y = 0 to get -2x = 6, making x = -3. Point (-3, 0) is on the line.
(We've actually stumbled on the solution since (-3, 0) is on both lines!)
Graph the two lines using the points found above.
The solution is x = -3, y = 0.
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Answer:
$2 for soda and $1.5 for a bottle of water
Step-by-step explanation:
You start by turning both situations into an equation
Let x represent bottles of water and y represent sodas
Saturday:
Sunday:
You then want to start by cancelling out the x in this equation, to do that you want 40x to become -50x so you:
50÷40=1.25
You then times the whole equation by -1.25
40x+25y=110
×-1.25
-50x+-31.25y= -137.5
You then add this equation by Sunday's equation
50x+45y=165
-50x+-31.25y=-137.5
13.75y=27.5
You now want to make the co-efficient of y a whole number (for example 15) so you divide 15/13.75=1.09 recurring
13.75y=27.5
×1.09 recurring
15y=30
15y/15=30/15
y=2
Now that we know y = 2
We can use either Saturday or Sunday's equation to figure out the value of
Let's use Sunday's:
50x+45×2=165
50x+90=165
50x+90-90=165-90
50x/50=75/50
x=1.5
Let's check our answer with Saturday's equation
40×1.5+25×2=110
This equation is correct
Therefore the prices for each beverage option is $1.5 for a bottle of water and $2 for a soda
Answer: look at the picture
Step-by-step explanation: Hope this help :D
