Brianna's teacher asks her which of these three expressions are equivalent to each other. which is equivalent

Mathematics

1 answer:

docker41 [41]2 years ago

4 0

Answer:

Please specify what the three expressions are.

Step-by-step explanation:

From what I understand, you need to set the expressions equal to each other. For instance, if one is 2(x-3) and the other is 2x-6, you could write it as:

$2(x-3)=2x-6$

Then, by evaluating it, you would get:

$2x-6=2x-6$ by distribution over subtraction.

$2x-6+6=2x-6+6$ by the additive property of equality

$2x=2x$ Simplify.

$x=x$ by the reflexive axiom.

Since x will always equal itself, 2(x-3) and 2x-6 are equivalent.

Therefore, if the expressions, once set equal to each other, result in the equation x=x, or any other expression in which one quantity equals itself, the two expressions are equal.

Sorry I could not be of more help, but you did not specify what the expressions were.

You might be interested in

4x - 6y =12 make this slope intercept from

Mekhanik [1.2K]

Y= 2/3 x -2

Hope this helps

8 0

2 years ago

There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What

antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

$-23\alpha+63\beta=1$

By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$