Use an associative law to find an expression equivalent to x+(y+49)

(x+y) + 49

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To use the associative law, we need to rearrange the addition operation within the expression to group the variables differently. According to the associative law of addition, it doesn't matter how we group the variables; the result will be the same.

In the given expression, x is added to the quantity (y + 49). Let's rearrange it using the associative law:

x + (y + 49)

Since addition is associative, we can group x with y first or y with 49 first.

Let's group y with 49 first:

(x + y) + 49

Now, we have an expression equivalent to x + (y + 49) using the associative law. The associative law allows us to change the grouping of addition without changing the result.