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3 years ago

11

Solve the system of linear equations using the elimination method x=3y;3x-2y=14

1 answer:

vladimir1956 [14]3 years ago

7 0

Answer:

<h2>x = 6 and y = 2 → (6, 2)</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}x=3y&\text{subtract}\ 3y\ \text{from both sides}\\3x-2y=14\end{array}\right\\\\\left\{\begin{array}{ccc}x-3y=0&\text{multiply both sides by (-3)}\\3x-2y=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-3x+9y=0\\3x-2y=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad7y=14\qquad\text{divide both sides by 7}\\.\qquad\qquad y=2\\\\\text{put the value of y to the first equation:}\\x=3(2)=6$

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Helga [31]

Answer:

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Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

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P(A) is the probability of A happening.

In this question:

Event A: High school student.

Event B: Is on the swin team.

Probability of selecting a high school student:

Of the 1500 students, 200 are on high school. So

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Probability of selecting a high school student who swims:

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$P(A \cap B) = \frac{45}{1500}$

What is the probability that a high school member selected at random is on the swim team?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225$

The probability that a high school member selected at random is on the swim team is $\frac{9}{40} = 0.225$

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bezimeni [28]

Answer:

An algebraic expression for <em>Sum of a and 5 divided by 8</em> is $\mathbf{\frac{a+5}{8}}$

Step-by-step explanation:

We need to express the given statement as an algebraic expression.

Sum of a and 5 divided by 8

Basically, we are given the expression in English sentence and we have to write algebraic expression.

It can be done in two steps:

Sum of a and 5 = We know that sum is denoted by + sign. So, we get (a+5)

Sum of a and 5 divided by 8 = $\frac{a+5}{8}$

So, An algebraic expression for <em>Sum of a and 5 divided by 8</em> is $\mathbf{\frac{a+5}{8}}$

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