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3 years ago

4x - 2y = -2 6x + 3y = 27

Mathematics

1 answer:

JulijaS [17]3 years ago

6 0

Answer:

Step-by-step explanation:

4x - 2y = -2 ------------------(I)

6x + 3y = 27 ------------------(II)

Multiply (I) by 3 & multiply (II) by 2

(I)*3 12x - 6y = -6

(II)*2 12x + 6y = 54 { Now add & y will be eliminated}

24x = 48

x = 48/24

x = 2

Plugin the value of x in equation (I)

4*2 - 2y = - 2

8 - 2y = -2 {subtract 8 from both side}

-2y = -2 - 8

-2y = -10 {Divide both sides by -2}

y = -10/-2

y = 5

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3 years ago

Arrange the slopes from flattest to steepest. -3/2, 0, 4/3, undefined

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To arrange the slopes we need to take their absolute values.
1. Undefined slope means a vertical line, so it is going to be steepest.
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3 years ago

What is 3/18 simplified

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3 years ago

Read 2 more answers

Whats the answer (2*3)•4

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2 years ago

Assume that in a particular military exercise involving two units, Red and Blue, thereis a 60 % chance that the Red unit will su

Marysya12 [62]

Answer: a) There are 42% chances that both units will meet their objectives.

b) There are 88% chances that one or the other but not both of the units will be successful.

Step-by-step explanation:

Since we have given that

Probability that the Red unit will successfully meet its objectives = 60% = P(R)

Probability that Blue unit will successfully meet its objectives = 70% = P(B)

Probability that only Red unit will be successful = P(only Red) = 18%

As we know that

$P(only\ red)=P(R)-P(R\cap B)\\\\0.18=0.60-P(R\cap B)\\\\0.18-0.60=-P(R\cap B)\\\\-0.42=-P(R\cap B)\\\\P(R\cap B)=42\%$

Hence, there are 42% chances that both units will meet their objectives.

the probability that one or the other but not both of the units will be successful is given by

$P(R\cup B)=P(R)+P(B)-P(R\cap B)\\\\P(R\cup B)=0.60+0.70-0.42\\\\P(R\cup B)=0.88\\\\P(R\cup B)=88\%$

Hence, there are 88% chances that one or the other but not both of the units will be successful.

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2 years ago