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Lady bird [3.3K]
2 years ago
8

Solve the system. x+3y=1 -2x+7=-23

Mathematics
1 answer:
Viefleur [7K]2 years ago
5 0
X+ 3y = 1  -----(first equation)
-2x+7 = -23 ---(second equation)
-2x = -23-7
x = 30/2
x = 15

Now, Substitute the value of x in first equation,
15 + 3y = 1
3y = 1 - 15
y = -14/3

In short, Final Answers are: x = 15 & y = -14/3

Hope this helps!
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Answer:

20 gallons were used from the tank with the octane rating of 80.

Step-by-step explanation:

Given : One tank of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of 60 gallons with an octane rating of 120.

To find : How many gallons should be used from the tank with the octane rating of 80?

Solution : Let x be the volume of gas whose octane rating is 140 and

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140x+80y = 7200

or  7x+4y = 360 .........[3]

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Now multiply equation (2) by 4  

4x + 4y = 240 ...........[4]

Subtract (4) from (3)  

7x+4y-4x-4y=360-240

3x=120

x=\frac{120}{3}

x=40

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160 + 4y = 240

4y = 80

y=\frac{80}{4}

y=20

Therefore, x=40 and y=20

So, 20 gallons were used from the tank with the octane rating of 80.






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