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2 years ago

-7x - 8y = 9 4x -9y = 22

Mathematics

1 answer:

umka21 [38]2 years ago

8 0

Answer:

x=1 and y=−2

Step-by-step explanation:

Multiply the first equation by 9,and multiply the second equation by -8.

9(−7x−8y=9)

−8(4x−9y=22)

Becomes:

−63x−72y=81

−32x+72y=−176

Add these equations to eliminate y:

−95x=−95

Then solve−95x=−95for x:

−95x

−95

(Divide both sides by -95)

x=1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−7x−8y=9

Substitute1forxin−7x−8y=9:

(−7)(1)−8y=9

−8y−7=9(Simplify both sides of the equation)

−8y−7+7=9+7(Add 7 to both sides)

−8y=16

−8y

−8

(Divide both sides by -8)

y=−2

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Answer:

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Step-by-step explanation:

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3 years ago

Can someone please help with this math question:)

Bingel [31]

Solution:

The rationalisation factor for $\frac{1}{ a - \sqrt{b} }$ is $a + \sqrt{b}$

So, let us apply it here.

$\frac{1}{5 - \sqrt{2} }$

The rationalising factor for 5 - √2 is 5 + √2.

Therefore, multiplying and dividing by 5 + √2, we have

$= \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{5 + \sqrt{2} }{(5 - \sqrt{2})(5 + \sqrt{2} ) } \\ = \frac{5 + \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ = \frac{5 + \sqrt{2} }{23}$

Answer:

$\frac{5 + \sqrt{2} }{23}$

Hope you could understand.

If you have any query, feel free to ask.

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39 ft of carpet

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3 years ago