Final answer:
To find x + 2y in terms of z in the equation 3x + 6y = 7z, solve for x and substitute it into x + 2y.
Step-by-step explanation:
To find x + 2y in terms of z in the equation 3x + 6y = 7z, we need to solve for x + 2y. First, let's solve the equation for x. Rearranging the equation, we have x = (7z - 6y)/3. Now, substitute this expression for x into x + 2y. We get (7z - 6y)/3 + 2y. Simplifying further, we have (7z + 2y - 6y)/3. Combining like terms, we get (7z - 4y)/3. Therefore, x + 2y = (7z - 4y)/3 in terms of z.