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Eva8 [605]
2 years ago
15

6x + 4y=10 12x + y= -29

Mathematics
1 answer:
Olin [163]2 years ago
3 0

Answer: x=-3    y=7.

Step-by-step explanation:

\displaystyle\\\left \{ {{6x+4y=10\ \ \ \ \ (1)} \atop {12x+y=-29\ \ \ \ (2)}} \right.\\  We\  multiply\  both\  sides\  of\  equation\  (1)\  by\  -2:\\\left \{ {{(-2)*6x+(-2)*4y=(-2)*10} \atop {12x+y=-29}} \right. \\\\\left \{ {{-12x-8y=-20} \atop {12x+y=-29}} \right. \\We\  summarize\  equations\  (1)\  and\  (2):\\-7y=-49\\-7*y=-7*7\\Divide\  both\  sides\  of\  the\  equation\  by\  -7:\\y=7.\\We\  substitute\  the\  value\  of\  y\  into \ equation\  (1):\\6x+4*7=10\\6x+28=10\\6x+28-28=10-28\\6x=-18\\6*x=6*(-3)\\Divide\  both\  sides\  of\  the\  equation\  by\  6:\\x=-3.

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Zigmanuir [339]

Answer:

\frac{1}{2} (a + 2b)(a - b)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

\frac{1}{2} a² + \frac{1}{2} ab - b² ← factor out \frac{1}{2} from each term

= \frac{1}{2} (a² + ab - 2b²) ← factor the quadratic

Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)

The factors are + 2 and - 1, since

2 × - 1 = - 2 and 2 - 1 = + 1, thus

a² + ab - 2b² = (a + 2b)(a - b) and

\frac{1}{2} a² + \frac{1}{2} ab - b² = \frac{1}{2}(a + 2b)(a - b)

5 0
3 years ago
I need help someone look at the picture
Natalka [10]

Answer:

2

Step-by-step explanation:

The outlier here is greatly above all of the others, the mean is the sum of all of the numbers/the amount of numbers. So, if we exclude the outlier, the sum of all of the numbers would decrease

3 0
3 years ago
Read 2 more answers
Find the product.<br><br> (8-3z)(8+3z)
maks197457 [2]

Step-by-step explanation:

you can open the file I gave you now. the answer is there

7 0
3 years ago
In Exercises 17-20, find the value of x so that the function has the given value. 17. f(x) = 8x - 7; f(x) = 17
Nastasia [14]

Answer:

17.) x = 3

18.) x = -5

I couldn't do 19.) and 20.) for you because there are weird symbols that I believe you mistakenly input. But I'm sure you now get the gist of how to solve such problems. Peace <3

Step-by-step explanation:

All you really have to do for all of the problems is substitute your value of "x" for the function.

17.) f(x) = 8x - 7; f(x) =17

    17 = 8x -7  ---- substitute 17 for f(x), add 7 on both sides

    24 = 8x ------ divide 8 on both sides

    x = 3

18.)    g(x) = -4x + 7; g(x) = 27

           27  = -4x + 7  substitute 27 for g(x), subtract 7 on both sides

           20 = -4x

            x = -5

5 0
2 years ago
F(x) = 3x2 + 2x – 10 <br>g(x) = 3a +9 <br>Find: (gof)(x)​
Gelneren [198K]

Answer:

68

Step-by-step explanation:

5 0
3 years ago
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