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3 years ago

Name the property or definition illustrated below

Mathematics

1 answer:

dimulka [17.4K]3 years ago

6 0

Answer: Substitution

Step-by-step explanation:

GIVEN:

y=3x

2x+4y=12

Then, 2x+4(3x)=12

-----------------------------------------

Substitution: replacing one variable in terms of another variable.

As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.

Hope this helps!! :)

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SVETLANKA909090 [29]

Answer:

$y=5.63$

Step-by-step explanation:

Given

$y$ varies directly with $x$

This means

$y$ ∝ $x$

This can be written as:

$y=k\ x$

where $k$ is the constant of proportionality.

We know that when $x=8$ then $y=5$ . Using this we can find value of $k$ .

so, we have

$5=k(8)$

Dividing both sides by 8 to isolate $k$ .

$\frac{5}{8}=\frac{k(8)}{8}$

∴ $k=\frac{5}{8}$

when $x=9$ then $y$ will be

$y=\frac{5}{8}\times 9$

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valentina_108 [34]

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