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abruzzese [7]
3 years ago
14

X+ 3y = 9 2x+ y = -2 Solve for x and y

Mathematics
1 answer:
Natali5045456 [20]3 years ago
7 0

Answer:

(-3, 4)

Step-by-step explanation:

<em>hey there,</em>

<em />

< From the first equation, let's find x.

x + 3y = 9

x = 9-3y    (I hope you understand how that works )

Next, we can substitute our equation that equals to x into the second equation.

2x + y = -2

2(9-3y) + y = -2     (I substituted "x" in "2x" with (9-3y))

Now, let's solve.

2(9-3y) + y = -2

18 - 6y + y = -2

-5y = -20

y = 4

Now that we have found what y is equal to, we can find x too. In the beginning we found that x = 9-3y so x = 9-3(4) = -3 >

<u>Hope this helped! Feel free to ask anything else.</u>

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4/5z=16 solve equation (that's a fraction )
Assoli18 [71]
So we need to isolate the variable. In order to do that, we need to multiply both sides by 5/4.
Why? That's so that 4/5z will be canceled out when multiplied by 5/4 to get just z.
And so, we would get 20 as our answer.
6 0
3 years ago
Find the volume of a rectangular prism with the width of x-1, a length of x+1 and a height of 2x-3.
Damm [24]

Answer:

The Volume is equal to 2x^3-3x^2+2x-3

Step-by-step explanation:

Formula for the volume of a rectangular prism is V=WHL

We know that:

W=x-1

L=x+1

H=2x-3

So, V= (x-1)(x-1)(2x-3)

Simplify

(x^2+1)(2x-3)

2x^3-3x^2+2x-3

8 0
3 years ago
Find the sum of the first 8 terms in the geometric sequence: 1, 3, 9, 27,
Butoxors [25]

The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.

Step-by-step explanation:

The given is,

            sequence: 1,3,9,21,.. etc

Step:1

           The given is based on multiplication of 3 to previous number,

           ( x - previous number, next number = 3 × x )

            First term : 1

            Second term : 1 × 3 = 3

           Third term : 3 × 3 = 9

            Fourth term : 9 × 3 =27

            Fifth term : 27 × 3 = 81

            Sixth term : 81 × 3 = 243

            Seventh term : 243 × 3 = 729

            Eighth term : 729 × 3 = 2187

Step:2

            Sum of first 8 terms = 1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187

                                              = 3280

            Sum of first 8 terms = 3280

Result:

           The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.

                                       

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3 years ago
Write 64,500 in scientific notation
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6.45 x 10 to the 4th. 
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3 years ago
531 times what equals 5,310
Leya [2.2K]

Answer:

10

531 x 10 = 5,310

4 0
3 years ago
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