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dlinn [17]
3 years ago
6

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

Mathematics
2 answers:
coldgirl [10]3 years ago
8 0

Answer:

A.  -4

Step-by-step explanation:

To find the y-value in the solution to this system of linear equation, we will follow the steps below:

4x + 5y = −12  ------------------------------------------------------(1)

-2x + 3y = −16 -----------------------------------------------------(2)

Multiply through equation (1)   by  2   and multiply through equation (2) by 4  to make the x coefficient have equal value

8x + 10y = -24 ---------------------------------------------------(3)

-8x + 12y = -64 ---------------------------------------------------(4)

Add equation (1) and equation (2)

22y = -88

Divide both-side of the equation by 22

22y/ 22 = -88/ 22

y =-4

Westkost [7]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Given the 2 equations

4x + 5y = - 12 → (1)

- 2x + 3y = - 16 → (2)

Eliminate the x- term by multiplying (2) by 2 and adding the result to (1)

- 4x + 6y = - 32 → (3)

Add (1) and (3) term by term

11y = - 44 ( divide both sides by 11 )

y = - 4

You might be interested in
11/12 - 7/8 in fraction pls help
hjlf

Answer:

1/24

Step-by-step explanation:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 11 by 8, and get 88.Then we multiply 7 by 12, and get 84.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

88 /96 -84 /96

Step 2

Since our denominators match, we can subtract the numerators.

88 − 84 = 4

So the answer is:

4 /96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:            

4 /96 ÷ 2 =2 /48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

2 /48 ÷ 2 =1 /24

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.                                    There you have it! The final answer is:

11 /12 -7 /8=1 /24

6 0
2 years ago
Read 2 more answers
Please help and thank you
lawyer [7]

I think it should be A

7 0
2 years ago
Find dy/dx if y =x^3+5x+2/x²-1
stiks02 [169]

<u>Differentiate using the Quotient Rule</u> –

\qquad\pink{\twoheadrightarrow \sf \dfrac{d}{dx} \bigg[\dfrac{f(x)}{g(x)} \bigg]= \dfrac{ g(x)\:\dfrac{d}{dx}\bigg[f(x)\bigg] -f(x)\dfrac{d}{dx}\:\bigg[g(x)\bigg]}{g(x)^2}}\\

According to the given question, we have –

  • f(x) = x^3+5x+2
  • g(x) = x^2-1

Let's solve it!

\qquad\green{\twoheadrightarrow \bf \dfrac{d}{dx}\bigg[ \dfrac{x^3+5x+2 }{x^2-1}\bigg]} \\

\qquad\twoheadrightarrow \sf \dfrac{(x^2-1) \dfrac{d}{dx}(x^3+5x+2) - ( x^3+5x+2)  \dfrac{d}{dx}(x^2-1)}{(x^2-1)^2 }\\

\qquad\twoheadrightarrow \sf \dfrac{(x^2-1)(3x^2+5)  -  ( x^3+5x+2) 2x}{(x^2-1)^2 }\\

\qquad\pink{\sf \because \dfrac{d}{dx} x^n = nx^{n-1} }\\

\qquad\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-(2x^4+10x^2+4x)}{(x^2-1)^2 }\\

\qquad\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-2x^4-10x^2-4x}{(x^2-1)^2 }\\

\qquad\green{\twoheadrightarrow \bf \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}\\

\qquad\pink{\therefore  \bf{\green{\underline{\underline{\dfrac{d}{dx} \dfrac{x^3+5x+2 }{x^2-1}}  =  \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}}}}\\\\

7 0
2 years ago
6.7.35
tino4ka555 [31]

Answer:

Step-by-step explanation:

dang this one is hard lol

4 0
2 years ago
Read 2 more answers
Assume you have 3,000 songs downloaded to your mobile phone. Of these songs, 50 songs are by your favorite artist. If you play t
Bond [772]

Answer:

2950

Step-by-step explanation:

i just subtracted 3,000 with 50

8 0
3 years ago
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