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3 years ago

Use the elimination method to solve the following system of equations2x+y=76x-y=9

Mathematics

1 answer:

Ymorist [56]3 years ago

5 0

Answer:

x=2

Step-by-step explanation:

We see that there is already a common variable that can be canceled out -- y. y+(-y)=0! (Alternatively you may also multiply an equation by negative 1 and do subtraction, but in this case it's already done for you)

So now we just do some addition.

2x+6x=8x

y+(-y)=0

7+9=16

This means that 8x=16. Now we solve!

(Divide both sides by 8)

We're left with x=2 :)

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If f ( x ) = 3x 2 - 6x + 2 and g ( x ) = 2x 2 + 2x - 11, then find f ( x ) + g ( x ).

nikitadnepr [17]

Answer:

$5x^{2} -4x-9$

Step-by-step explanation:

f(x)+g(x)

$(3x^{2} -6x+2) + (2x^{2} +2x-11)\\3x^{2} -6x+2 + 2x^{2} +2x-11\\$
combine like terms --
$5x^{2} -4x-9$

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2 years ago

The weight of water is 62 and one half lb per cubic foot. How many cubic feet would be occupied by 180 lb of water?

inessss [21]

Answer:

$2\frac{22}{25}$ cubic feet

Step-by-step explanation:

We are given that the weight of water is 62 and one half lb per cubic foot and we are to find the number of cubic feet that would be occupied by 180 lb of water.

For that, we will divide total amount of water by per unit weight of water:

Cubic feet occupied by 180 lb of water = $\frac{180}{62.5} =$ = 2.88 cubic feet or $2\frac{22}{25}$ cubic feet

8 0

3 years ago

Find the median for the given set of data 0.6 , 1.1, 0.87, 2, 0.87, 1.23

Bezzdna [24]

To find the median, place the numbers in order from least to greatest then find the number in the middle

0.6, 0.87, (0.87, 1.1), 1.23, 2

0.87 and 1.1 are in the center.

Add 0.87 to 1.1 then divide it by 2

0.87 + 1.1 = 1.97

Half of 1.97 is 0.985

Hope this helps

4 0

4 years ago

Read 2 more answers

Guys! Announcement!!

Sunny_sXe [5.5K]

Ok thanks for letting me know !

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3 years ago

Camila leans a 18-foot ladder against a wall so that it forms an angle of 71 with the

BigorU [14]

Answer: 17.0

Step-by-step explanation:

According to the question the height is 18. sin 71 = 18x9455 = 17.019 = 17.0

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2 years ago

Use the elimination method to solve the following system of equations2x+y=76x-y=9​

Use the elimination method to solve the following system of equations2x+y=76x-y=9