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Genrish500 [490]
3 years ago
14

Solve the system of equations by substitution

Mathematics
1 answer:
scoundrel [369]3 years ago
7 0

Answer:

(x, y) = (1, 3)

Step-by-step explanation:

given the 2 equations

x + y = 4 → (1)

y = 3x → (2)

Substitute y = 3x into (1)

x + 3x = 4

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = 3 × 1 = 3

solution is (1, 3 )


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Consider the following pair of equations:
Oksana_A [137]
There is a special kind of substitution which some books call it by comparison.

When the two equations are both 
y=some function of x
y=some other function of x, then
we can substitute the second equation into the first giving
some function of x = some other function of x and start solving.

For example,
<span>y = –2x + 8 
y = x – 1
substitute second into first
x-1=-2x+8
isolate x on left,
3x=9
x=3
second step is to substitute x=3 into second equation to get
y=x-1=3-1=2
Therefore the solution is (3,2)</span>
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3 years ago
The local water slides have 120 employees, of which 70% are temporary. How many permanent employees are there?
Olegator [25]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
This table models a linear function. x −8 −4 4 8 y −3 0 6 9 plzzzzz help !!!!!!!!!!!!!!!!!!!
elixir [45]

Answer:

This is a linear function so we must first find the rise than run of the table. -8 to -4  is a run of 4  

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This is a linear function the school or website you got this question just did not give x=0 and y=3 to mess with you the students.

Step-by-step explanation:


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3 years ago
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