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taurus [48]
3 years ago
6

Use elimination to solve the system for 4x + 7 y equals -14 + 8 x + 5 y equals 8 for x​

Mathematics
1 answer:
olga2289 [7]3 years ago
4 0

9514 1404 393

Answer:

  (x, y) = (3.5, -4)

Step-by-step explanation:

Elimination is easiest if one of the coefficients of a variable is a multiple of the other coefficient of the variable. Here, we have x-coefficients of 4 and 8, so it will be easiest to eliminate x.

Subtract the second equation from 2 times the first.

  2(4x +7y) -(8x +5y) = 2(-14) -(8)

  9y = -36 . . . . . simplify

  y = -4 . . . . . . . divide by 9

  4x +7(-4) = -14 . . . . substitute for y in the first equation

  4x = 14 . . . . . . . add 28

  x = 3.5 . . . . divide by 4

The solution is (x, y) = (3.5, -4).

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
hodyreva [135]

Answer:

16a^2b^4

Step-by-step explanation:

<u>GCF= Greatest Common Factor</u>

Given a polynomial, the GCF is the largest polynomial that will divide evenly into that polynomial.

The polynomial is

16a^4b^4 + 32a^3b^5 - 48a^2b^6

First, we find the GCF of the coefficients:

16, 32, 48

Since 32 and 48 are multiples of 16, 16 is the GCF of the coefficients.

Now we select all the repeating variables with their smallest exponent:

a^4, a^3, a^2.\ GCF= a^2

b^4, b^5, b^6.\ GCF=b^4

The GCF of the polynomial is

\boxed{16a^2b^4}

7 0
3 years ago
H(x) = 2x^2 =4; Find h(-10)
bogdanovich [222]

For this case we have the following function:

h (x) = 2x ^ 2 + 4

We must find the value of the function when x = -10

So, replacing we have:

h (-10) = 2 (-10) ^ 2 + 4\\h (-10) = 2 (100) +4\\h (-10) = 200 + 4\\h (-10) = 204

Thus, the value of the function is 204 when x = -10

Answer:

h (-10) = 204

3 0
3 years ago
How do you solve -5n-8(1+7n)=8
Reil [10]
-5n-8(1+7n)=8
Let's simplify everything. 
-5n-8-56n=8
Put the variables on one side and the numbers on the other. 
-5n-56n=8+8
Combine like terms.
-61n=16
n=-16/61

Hope I helped! :)

8 0
3 years ago
Read 2 more answers
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Kay [80]
The actual number is 151.34 but since its a estimate about 150ish 
8 0
3 years ago
2x(x-4)=12 in standard form
earnstyle [38]

24x^{2} -96x

8 0
3 years ago
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