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777dan777 [17]
3 years ago
15

Analyze the solution set of the following system by following the given steps.

Mathematics
2 answers:
Kryger [21]3 years ago
8 0

Equations in the slope-intercept form are

<u>y= - 2x+5, </u>

<u>y= - 2x +3</u>

Mumz [18]3 years ago
4 0
<span>2x + y = 5 
</span><span>2x -2x+ y = 5 -2x
y=5-2x 
y=-2x+5

</span><span>3y = 9 − 6x
3y/3= 9/3 - 6x/3
y = 3 - 2x 
y= - 2x +3

Equations in the slope-intercept form are
</span>y= - 2x+5,
y= - 2x +3

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Answer ,how to do it.
guapka [62]

Answer:

<u>The system has two solutions:</u>

<u>x₁ = 5  ⇒ y₁ = -10</u>

<u>x₂ = -2 ⇒ y₂ = 11</u>

Step-by-step explanation:

Let's solve the system of equations, this way:

y = -3x + 5

y = x ² - 6x - 5

Replacing y in the 2nd equation:

y = x ² - 6x - 5

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x ² - 3x - 10 = 0

Solving for x, using the quadratic formula:

(3 +/- √(9 -4 * 1 * -10))/2 * 1

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(3 +/- √49)/2

(3 +/- 7)/2

x₁ = 10/2 = 5

x₂ = -4/2 = -2

x₁ = 5  ⇒ y₁ = -10

x₂ = -2 ⇒ y₂ = 11

<u>As we can see the system has two different solutions</u>

8 0
3 years ago
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fgiga [73]

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8 0
2 years ago
Read 2 more answers
Algebra...George bought 2 identical couches and 3 identical chairs. A couch cost twice as much as a chair. He spent $270 more on
loris [4]

Answer:

$1890

Step-by-step explanation:

x= couches

y=chair.

x=2y

2x=3y+270

2(2y) or 4y=3y+270

y=270

x=540

2(540)+3(270)=1890.

Hope this helps :D

8 0
3 years ago
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