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2 years ago

Look at this system of equations. 4x+3y=33 2x+3y=21 What is the value of x+y?

Mathematics

1 answer:

Maurinko [17]2 years ago

3 0

Answer:

x = 6

y = 3

x + y = 9

Step-by-step explanation:

(Step 1)

Isolate one of the variables in one of the equations. This will allow you to solve by substitution in the following steps.

2x + 3y = 21 <----- Original equation

3y = -2x + 21 <----- Subtract 2x from both sides

y = (-2/3)x + 7 <----- Divide all terms by 3

(Step 2)

Substitute the new equation into the untouched equation and isolate the "x" variable.

4x + 3y = 33 <----- Original equation

4x + 3((-2/3)x + 7) = 33 <------ Substitute manipulated equation

4x - 2x + 21 = 33 <------ Multiply 3 by terms in parentheses

2x + 21 = 33 <------ Subtract terms with variables

2x = 12 <----- Subtract 21 from both sides

x = 6 <----- Divide both sides by 2

(Step 3)

Plug the value of "x" into one of the equations to find the value of "y".

4x + 3y = 33 <----- Original equation

4(6) + 3y = 33 <----- Plug 6 in for "x"

24 + 3y = 33 <----- Multiply

3y = 9 <----- Subtract 24 from both sides

y = 3 <----- Divide both sides by 3

(Step 4)

Since you now know the value of both variables, you can add them together to find your final answer.

x = 6

y = 3

x + y = ?

6 + 3 = ?

9 = ?

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Answer:

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Step-by-step explanation:

Combine liked terms:

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Subtract 3: 3 $x^{2}$ +5x+8-3=7x+3-3

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Now subtract 7x:

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If you want combine liked terms:

3 $x^{2}$ -7x+5x+5=0

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Hope this helps!

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3 years ago

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devlian [24]

Answer:

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Step-by-step explanation:

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2 years ago

2 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is an a

olya-2409 [2.1K]

Answer:

<h2>The answer is 0.1493.</h2>

Step-by-step explanation:

In a standard deck there are 52 cards in total and there are 4 aces.

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From these 48 cards 2 cards can be drawn in $^{48}C_2 = \frac{48!}{46!\times2!} = 47\times24$ ways.

The probability of choosing 2 cards without aces is $\frac{47\times24}{51\times26} = \frac{188}{221}$ .

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3 years ago

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ivolga24 [154]

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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