If 3x+y = 81 and 81x–y = 38, then find the values ofx and y respectively.

Sure, let's solve this system of equations step by step.

Step 1: Write down the system of equations

3x + y = 81 81x - y = 38

Step 2: Add the two equations together

This will eliminate 'y'.

(3x + y) + (81x - y) = 81 + 38 84x = 119

Step 3: Solve for 'x'

Divide both sides of the equation by 84 to solve for 'x'.

x = 119 / 84 x = 1.4167 (rounded to four decimal places)

Step 4: Substitute 'x' into the first equation to solve for 'y'

3(1.4167) + y = 81 4.25 + y = 81 y = 81 - 4.25 y = 76.75

So, the solution to the system of equations is x = 1.4167 and y = 76.75.