Question

Match each expression with an equivalent expression.

Answer 1

Answer:

6x-4y=2(3x-2y),

6-4x=2(3-2x),

6x-4x=2x,

6x-4=2(3x-2)

Step-by-step explanation:

We have been given 4 expressions

6x−4y, 6−4x, 6x−4x, 6x−4

Now we need to simplify or factor so that we can match each expression with an equivalent expression.

6x-4y=2(3x-2y)

6-4x=2(3-2x)

6x-4x=2x

6x-4=2(3x-2)

Now we can easily see that right side is unique for each of the given expression which can be easily matched with given choices.

Answer 2

Answer:

$6x-4y$ →  4.  $2(3x-2y)$

$6-4x$ →    3.  $2(3-2x)$

$6x-4x$ →  1. $2x$

$6x-4$ →   2. $2(3x-2)$

Step-by-step explanation:

You need to:

 Factor out 2 from $6x-4y$,  then you get the equivalent expression:

$=2(3x-2y)$ this matches with OPTION 4

Factor out 2 from $6-4y$, then you get the equivalent expression:

$=2(3-2x)$ this matches with OPTION 3

Make the subtraction for $6x-4x$,  then you get the equivalent expression:

$=2x$ this matches with OPTION 1

Factor out 2 from $6x-4$,  then you get the equivalent expression:

$=2(3x-2)$ this matches with OPTION 2