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Andrej [43]
3 years ago
12

CAN I GET ANY HELP FOR MY HOMEWORK PROBLEMS? :( Solve the system of equations by using the substitution method.

//tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Bx%2By%3D20%7D%20%5Catop%20%7By%3D-5x%7D%7D%20%5Cright." id="TexFormula1" title="\left \{ {{x+y=20} \atop {y=-5x}} \right." alt="\left \{ {{x+y=20} \atop {y=-5x}} \right." align="absmiddle" class="latex-formula"> Are there solutions, none, or infinite numbers? If there's one solution, what's the ordered pair?
Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0

Answer:

One solution. (x,y) = (-5,25)

Step-by-step explanation:

y = -5x

x + y = 20

x + (-5x) = 20

-4x = 20

x = -5

y = -5 (-5)

y = 25

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Answer:

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Step-by-step explanation:

We have the following equation

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(x-h)^2 + (y-k)^2 = r^2

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To transform the given equation in the general equation of a circumference we must use the method of square completions

Step 1

(x^2 - 4x) + (y^2 + 8y) = -4

<u>Step 2</u>

<u> </u>Add and subtract (\frac{b}{2})^2 For an equation of the form

ax^2 +bx +c

(x^2 - 4x +4)-4 + (y^2 + 8y +16) -16= -4

<u>Step 3  </u> Factor the expressions within the parentheses

(x-2)^2-4 + (y+4)^2 -16= -4

<u>Step 4 Simplify</u>

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Finally

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3 years ago
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