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2 years ago

Which ordered pair (c,d) is the solution to the given system of linear equations?

Mathematics

2 answers:

IceJOKER [234]2 years ago

7 0

Answer:

(-1, 6)

Step-by-step explanation:

{-c + 2d = 13

{-9c - 4d = -15

-⅑[-9c - 4d = -15]

{-c + 2d = 13

{c + 4⁄9d = 1⅔ >> New equation

______________

2 4⁄9d = 14⅔

______ _____

2 4⁄9 2 4⁄9

d = 6 [Plug this back into both equations to get the c-value of -1]; -1 = c

I am joyous to assist you anytime.

Zinaida [17]2 years ago

6 0

Answer:

(-1,6)

Step-by-step explanation:

We are given that system of linear equations

$-c+2d=13$

$-9c-4d=-15$

We have to find the value of ordered pair (c,d).

Equation first multiply by 2 then add to equation second

We get

$-9c-4d-2c+4d=26-15$

$-11c=11$

$c=\frac{11}{-11}=-1$

Substitute the value of c in equation first then, we get

$-(-1)+2d=13$

$1+2d=13$

$2d=13-1=12$

$d=\frac{12}{2}=6$

Hence, the ordered pair (-1,6) is the solution of given system of linear equations.

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stepladder [879]

Answer:

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Step-by-step explanation:

Let the equation be : $x^2+y^2+2gx+2fy+c=0$

The point (1,1) must satisfy this equation.

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Similarly, the point (1,3) must satisfy:

$1^2+3^2+2g*1+2f*3+c=0\\1+9+2g+6f+c=0\\2g+6f+c=-10---(2)$

Also for the point (9,2), we have:

$9^2+2^2+2g*9+2f*2+c=0\\81+4+18g+4f+c=0\\18g+4f+c=-85---(3)$

Solving the equations (1), (2) and (3) simultaneously, we get:

$g=-\frac{-79}{16},f=-2,c=\frac{95}{8}$

We Substitute this values to get:

$x^2+y^2+2(\frac{-79}{16})x+2(-2)y+\frac{95}{8}=0$

$x^2+y^2-(\frac{79}{8})x-4y+\frac{95}{8}=0$

Multiply through by 8 to get:

$8x^2+8y^2-79x-32y+95=0$

8 0

3 years ago

two friends natasha and tricia share a sum of money in the ratio 5:3 respectively if tricia share was $126.75,calculate the tota

Firdavs [7]

Answer:

253.48

Step-by-step explanation:

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2 years ago

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mojhsa [17]

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2 years ago

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Rina8888 [55]

Answer:

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Step-by-step explanation:

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Dividing both equations:

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Radda [10]

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