SOLUTION: Four times the sum of two consecutive integers is equal to 2 more than 14 times the larger integer. Find the integers.

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We are looking for the value of 2 integers, so let's call them x and y (where y is the larger integer). First we need to write the question out as an expression:

Expand the brackets:

Subtract 4y from both sides:

Now, if they are consecutive integers, we know that:

If we substitute this into the previous equation, we get:

Expand the brackets:

Add 4 to both sides:

Subtract 10y from both sides:

Divide both sides by -6:

Since x is one less than y:

The 2 integers are -2 and -1.