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3 years ago

3. Find a solution to the following system of equations. -3x + 3y = -9 -3x + y = 7

Mathematics

1 answer:

Alex Ar [27]3 years ago

3 0

Answer:

x = 5

y = 2

Step-by-step explanation:

-3x + 3y = -9

3y = 3x - 9

Equation 1. y = x - 3

-3x + y = 7

Equation 2. y = 3x + 7

So, put number 1 equation to number 2's y :

x - 3 = 3x + 7

x -3x = 7 + 3

-2x = 10

2x = 10

x = 10/2

x = 5

And, put x, which is 5 , to the any equation to figure out the y.

This time, I'll use equation number 1.

y = 5 - 3

y = 2

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Answer:

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Step-by-step explanation:

Group Like Terms:

3x+x+30=10+2x+5x+2

Add similar elements 3x+x=4x:

4x+30=10+2x+5x+2

Add similar elements 2x+5x=7x:

4x+30=10+7x+2

Group like terms:

4x+30=7x+10+2

Add the numbers 10+2=12:

4x+30=7x+12

Subtract 30 from both sides:

4x+30-30=7x+12-30

Simplify:

4x=7x-18

Subtract 7x from both sides:

4x-7x=7x-18-7x

Simplify:

-3x=-18

Divide both sides by -3:

$\frac{-3x}{-3} =\frac{-18}{-3}$

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Hence, the correct answer is 6

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2 years ago

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Answer:

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Step-by-step explanation:

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then

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The diameter, D, of a sphere is 15 . Calculate the sphere's volume, V . Use the value 3.14 for pi , and round your answer to the

sergeinik [125]

Answer:

V= 1767.2

Step-by-step explanation:

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(I'm pretty sure I rounded that right. If not it's 1767.15 before rounding. )

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