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Ilya [14]
4 years ago
13

Solve the following system of equations by substitution and select the correct answer below:

Mathematics
2 answers:
Anni [7]4 years ago
6 0
The answer is x= 4 and y= -3

6x-4y=36 -- (1)

2x-8y=32- (2)

from (1)
-4y= 36-6x
y= -9+3/2x 

(3) into (2)
2x-8(-9+3/2x)=32
2x+72-12x=32
72-10x=32
-10x= -40
x= 4

sub x=4 into y= -9+3/2x
y= -9+3/2(4)
y= -3
Sauron [17]4 years ago
3 0
First, we take one of our equations and solve for one variable in terms of the other.
This is similar to solving a one-variable equation.

6x - 4y = 36
Get one variable on one side.
6x = 36 + 4y
Divide by 6.
x = 6 + 2/3y

Now, we substitute this value for x in our second equation.

2x - 8y = 32
2(6 + 2/3y) - 8y = 32
Distribute the 2...
12 + 4/3y - 8y = 32
Subtract 12 from each side...
4/3y - 8y = 20
Multiply everything by 3 to get rid of that fraction.
4y - 24y = 60
-20y = 60
Divide by -20...
y = -3

Use this value in an earlier equation to find x.

<span>6x − 4y = 36
</span>6x - 4(-3) = 36
6x + 12 = 36
6x = 24
x = 4
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3 years ago
Monica is counting books she has three stacks of some number of books and then 5 more books off to the side. Write a. Expression
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Step-by-step explanation:

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3 years ago
.3x+.03x+.003x+.0003x+.00003x=3<br> solve for x
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First, you can combine all of the terms involving x:
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3 years ago
Help me please, I need help I don’t understand this problem
jarptica [38.1K]

The maximum speed of a boat at 30 feet length of water is 0.093 nautical miles/hour or knots.

<u>Step-by-step explanation:</u>

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It is given that, the modeled equation s²= (16/9)x is used to find the maximum speed in knots or nautical miles per hour.

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Can be written as: 

A number (n) times 50

n x 50

The simplest (and most common way) to write it:

50n
4 0
3 years ago
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