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3 years ago

Which properties justify the steps taken to solve the system? {3x−2y=10 4x−3y=14

Mathematics

2 answers:

Alexeev081 [22]3 years ago

7 0

The answer is: Substitution property of equality.

The explanation is shown below:

1. To solve this problem you must apply the proccedure shown below:

2. When you clear the variable x from the first equation, and subtitute it into the second equation, you obtain:

<span>3x−2y=10
x=(10+2y)/3

4x−3y=14
</span>4[(10+2y)/]−3y=14
<span> y=-2

3. When you subsitute y=-2 into the first equation and clear the x, you have:

x=2
</span>

Eddi Din [679]3 years ago

5 0

Answer:

Just took it!

Step-by-step explanation:

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The theoretical probability of an event is the number of desired outcomes divided by all possible outcomes. What is the probabil

malfutka [58]

The theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.

According to the given question.

A card is drawn from a shuffled standard deck.

Since, the total number of cards in a shuffled standard deck = 52

And, the total number of aces in a shuffled standard deck = 4

As, we know that "the theoretical probability of an event is the number of desired outcomes divided by all possible outcomes".

Therefore, the theoretical probabability of drawing an ace from a shuffled deck of playing cards

= 4/52

= 1/13

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2 years ago

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3 years ago

Approximate <img src="https://tex.z-dn.net/?f=-8%20%2B%5Csqrt%7B20%7D" id="TexFormula1" title="-8 +\sqrt{20}" alt="-8 +\sqrt{20}

alisha [4.7K]

The value of the radical expression -8 + √20 when expanded and solved is -3.6, based on the given parameters

<h3>What are equivalent expressions?</h3>

Equivalent expressions are different expressions that have equal values when evaluated and compared

<h3>How to approximate the radical expression?</h3>

The expression is given as:

-8 + √20

The above expression is a radical expression

So, we start by doing the following

Express 20 as 5 * 4

-8 + √20 = -8 + √(5 * 4)

Split the radical expression √(5 * 4)

-8 + √20 = -8 + √5 * √4

Evaluate the square root of 4 i.e. √4 = 2

-8 + √20 = -8 + √5 * 2

This gives

-8 + √20 = -8 + 2√5

Evaluate the square root of 5

-8 + √20 = -8 + 2 * 2.2

Evaluate the product of 2 and 2.2

-8 + √20 = -8 + 4.4

Evaluate the difference

-8 + √20 = -3.6

Based on the given parameters, the value of the radical expression -8 + √20 when expanded and solved is -3.6

So, the complete equation is:

-8 + √20 = -3.6