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Simora [160]
3 years ago
7

12y=17-9x and -4y-3x=31 solve by elimination

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Answer:

0 ≠ 110

No solution

Step-by-step explanation:

Solve by Addition/Elimination

12y = 17 − 9x and −4y − 3x = 31

Reorder 17 and −9x. 12y = −9x + 17

−4y − 3x = 31

Add 9x to both sides of the equation.

12y + 9x = 17

−4y − 3x = 31

Reorder the polynomial.

9x + 12y = 17

−4y − 3x = 31

Reorder the polynomial.

9x + 12y = 17

−3x − 4y = 31 9x + 12y = 17

 Multiply each equation by the value that makes the coefficients of x opposite.

9x + 12y = 17

(3) ⋅ (−3x − 4y) = (3) (31)

Simplify (3) ⋅ (−3x − 4y).

Apply the distributive property.

9x + 12y = 17

3 (−3x) + 3 (−4y) = (3) (31)

Multiply −3 by 3. 9x + 12y = 17

−9x + 3 (−4y) = (3) (31)

 Multiply −4 by 3. 9x + 12y = 17

−9x − 12y = (3) (31)

 Multiply 3 by 31. 9x + 12y = 17

−9x − 12y = 93

Add the two equations together to eliminate x from the system.

9x+12y=17

+−9x−12y=93

0=110

Since 0 ≠ 110, there are no solutions. No solution

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74 is a rational number but not a whole number. 74 is a whole number but not a rational number. 74 is a whole number and a ratio
Lady_Fox [76]

Answer:

Option C: 74 is both a whole number and a rational number.

Step-by-step explanation:

A rational number is defined as a number which can be written as a fraction of two integers, an integer, a whole number and a natural number. The integer could be positive or negative.

Examples include -1/4, 1/2, 12

So it's obvious that the given number of 74 is a rational number.

Now, a whole number is simply a non - negative integer.

An integer is a number that is not a fraction.

Thus, examples of whole numbers are 0, 1, 2, 3, 4...

So 74 is clearly a whole number.

Therefore, we can conclude that 74 is both a whole number and a rational number.

5 0
2 years ago
The population, p, of a town after t years is represented using the equation p=10000(1.04)^-t Which of the following is an equiv
Lisa [10]

Answer:

p=10000(26/25)t

Step-by-step explanation:

Considering that the population, p, of a town after t years is represented using the equation p=10000(1.04)^-t

The equation is equivalent to p=10000(26/25)t, because;

26/25 = 1.04

Hence; p=10000(26/25)t =p=10000(1.04)^t

3 0
3 years ago
Read 2 more answers
If g(x)=2(x-4), find the value of x if g(x)=20
kherson [118]

Answer:

3) 14

Step-by-step explanation:

in the given equation replace the "g(x)" with the provided "20"

20=2(x-4) solve as usual

divide each side by 2

10=x-4

add 4 to each side

14=x

the value of x is 14

3 0
3 years ago
After prime planting season was over, a horticulturist sold lilac bushes for $15.00. If the original price was $39.00, what is t
hoa [83]
Find what percent of $39.00 the sale price was.
=> 15/39*100=38.4%
now subtract from 100% to get the mark down percentage.
100-38.4=61.6
Final answer:
Marked down 61.6%
Hope I helped :)
4 0
3 years ago
13. 11 = 2b +17 14. 5 = 4a -7
dedylja [7]

13.\ 2b+17=11\qquad|-17\\\\2b=-6\qquad|:2\\\\\boxed{b=-3}\\\\14.\ 4a-7=5\qquad|+7\\\\4a=12\qquad|:4\\\\\boxed{a=3}\\\\16.\ 2g-3=-19\qquad|+3\\\\2g=-16\qquad|:2\\\\\boxed{g=-8}\\\\17.\ 5x-9=16\qquad|+9\\\\5x=25\qquad|:5\\\\\boxed{x=5}\\\\19.\ 5+\dfrac{y}{8}=-3\qquad|-5\\\\\dfrac{y}{8}=-8\qquad|\cdot8\\\\\boxed{y=-64}


3 0
3 years ago
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