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3 years ago

What’s the solution to y=-7x+1 5x+4y=-19

Mathematics

1 answer:

Eva8 [605]3 years ago

8 0

Answer:

Step-by-step explanation:

$y=-7x+1\qquad(1)\\\\5x+4y=-19\qquad(2)\\\\\text{Substitute (1) to (2):}\\\\5x+4(-7x+1)=-19\qquad\text{use the distributive property}\\\\5x+(4)(-7x)+(4)(1)=-19\\\\5x-28x+4=-19\qquad\text{subtract 4 from both sides}\\\\5x-28x+4-4=-19-4\qquad\text{combine like terms}\\\\-23x=-23\qquad\text{divide both sides by (-23)}\\\\\dfrac{-23x}{-23}=\dfrac{-23}{-23}\\\\x=1$

$\text{Substitute the value of}\ x\ \text{to (1):}}\\\\y=-7(1)+1\\\\y=-7+1\\\\y=-6$

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Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

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Required

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This is calculated as:

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<em>Note that: 1 is subtracted because it is a probability without replacement</em>

$P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1} + \frac{9}{20} * \frac{9- 1}{20- 1}$

$P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19} + \frac{9}{20} * \frac{8}{19}$

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Greetings!

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