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3 years ago

What is the y-value in the solution to this system of linear equations?

Mathematics

2 answers:

Airida [17]3 years ago

8 0

Answer: The answer is y = -4

Karolina [17]3 years ago

6 0

Answer:

y = -4

Step-by-step explanation:

Solve the following system:

{4 x + 5 y = -12 | (equation 1)

3 y - 2 x = -16 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{4 x + 5 y = -12 | (equation 1)

0 x+(11 y)/2 = -22 | (equation 2)

Multiply equation 2 by 2/11:

{4 x + 5 y = -12 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{4 x+0 y = 8 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 2 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer: {x = 2 , y = -4

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A problem states: "There are 2 more horses than cows in a field. There are 15 animals in the field in all. How many horses are t

mash [69]

Let h = the number of horses in the field
Let c = number of cows in the field

There are 2 more horses than cows in the field. Therefore
h = c + 2
or
c = h - 2 (1)

There are 15 animals in the field. Therefore
h + c = 15 (2)

Substitute (1) into (2).
h + (h - 2) = 15
2h - 2 = 15

Answer:
The correct equation is
2h - 2 = 15

4 0

3 years ago

Read 2 more answers

How do you do this?????????????

uranmaximum [27]

Hey there!

To find the value of an angle in a triangle, you need to add the 3 angles. You have angles with 55 degrees, 65 degrees, and x degrees. Put this into an equation. The equation would be 55+65+x=180. Simplify to get 120+x=180. You need to isolate x, so subtract 120 from both sides to get x=60. So the value of x is 60 degrees.

I hope this helps!

7 0

3 years ago

Read 2 more answers

Match the expressions with their equivalent simplified expressions.

Tasya [4]

Answer:

$\sqrt[4]{\frac{16x^6y^4}{81x^2y^8}}\rightarrow\frac{2x}{3y}\\\sqrt[4]{\frac{81x^2y^{10}}{81x^6y^6}} \rightarrow\frac{3y}{2x}\\\sqrt[3]{\frac{64x^8y^7}{125x^2y^{10}}}\rightarrow\frac{4x^2}{5y}\\\sqrt[5]{\frac{243x^{17}y^{16}}{32x^7y^{21}}}\rightarrow\frac{3x^2}{2y}\\\sqrt[5]{\frac{32x^{12}y^{15}}{243x^7y^{10}}} \rightarrow\frac{2xy}{3}\\\sqrt[4]{\frac{16x^{10}y^{9}}{256x^2y^{17}}}\rightarrow\frac{x}{2y}$

Step-by-step explanation:

$\sqrt[4]{\frac{16x^6y^4}{81x^2y^8}} =\sqrt[4]{\frac{(2^4)(x^{6-2})(y^{4-8})}{(3^4)}} =\sqrt[4]{\frac{2^4x^4y^{-4}}{3^4}} =\frac{2xy^{-1}}{3}=\frac{2x}{3y}$

$\sqrt[4]{\frac{81x^2y^{10}}{81x^6y^6}} =\sqrt[4]{\frac{(3^4)(x^{2-6})(y^{10-6})}{(2^4)}} =\sqrt[4]{\frac{3^4x^{-4}y^{4}}{2^4}} =\frac{3x^{-1}y^1}{3}=\frac{3y}{2x}$

$\sqrt[3]{\frac{64x^8y^7}{125x^2y^{10}}} =\sqrt[3]{\frac{(4^3)(x^{8-2})(y^{7-10})}{(5^3)}} =\sqrt[3]{\frac{4^3x^6y^{-3}}{5^3}} =\frac{4x^2y^{-1}}{5}=\frac{4x^2}{5y}$

$\sqrt[5]{\frac{243x^{17}y^{16}}{32x^7y^{21}}} =\sqrt[5]{\frac{(3^5)(x^{17-7})(y^{16-21})}{(2^5)}} =\sqrt[5]{\frac{3^5x^{10}y^{-5}}{2^5}} =\frac{3x^2y^{-1}}{2}=\frac{3x^2}{2y}$

$\sqrt[5]{\frac{32x^{12}y^{15}}{243x^7y^{10}}} =\sqrt[5]{\frac{(2^5)(x^{12-7})(y^{15-10})}{(3^5)}} =\sqrt[5]{\frac{2^5x^{5}y^{5}}{3^5}} =\frac{2x^1y^{1}}{3}=\frac{2xy}{3}$

$\sqrt[4]{\frac{16x^{10}y^{9}}{256x^2y^{17}}} =\sqrt[4]{\frac{(2^4)(x^{10-2})(y^{9-17})}{(4^4)}} =\sqrt[4]{\frac{2^4x^{8}y^{-8}}{4^4}} =\frac{2x^{1}y^{-1}}{4}=\frac{x}{2y}$

Thus,

3 0

3 years ago

12x-6>14x-2 graph it

Jet001 [13]

Answer: 12x-6=14x-2

We move all terms to the left:

12x-6-(14x-2)=0

We get rid of parentheses

12x-14x+2-6=0

We add all the numbers together, and all the variables

-2x-4=0

We move all terms containing x to the left, all other terms to the right

-2x=4

x=4/-2

x=-2

Step-by-step explanation:

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3 years ago

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Which data is represented by this plot?

RSB [31]

Answer:

a)

Step-by-step explanation:

Data represented by the plot: 0, 1, 1, 1, 2, 3, 4, 4, 6, 7 & 8

B) & C) Can’t be answers cuz of 2 0’s

So it’s between A) & D)

Well D is missing one more 1 in the data plot so the answer is A

6 0

3 years ago