Question 1097059
First, let's rewrite each equation so they will both be in the same order and in standard form:


4x - 2y = 2 + x =====> 3x - 2y = 2


8y - 7x = -2y - 2x =====> -5x + 10y = 0


We now have


 3x -  2y = 2
-5x + 10y = 0


Multiply the first equation by 5, giving us:


15x - 10y = 10
-5x + 10y = 0


We can now add equation 1 to equation 2, giving us


10x = 10


Dividing both sides of the equation by 10 will give us our x value:


x = 1


Now replace x with 1 in equation 1:


3(1) - 2y = 2 =====> 3 - 2y = 2 =====> -2y = -1 =====> y = 1/2


We now have our x and y values: x = 1 and y = 1/2


We are asked to find the average of x and y.  To find the average of 2 numbers, add both numbers together and divide that result by 2.  So, in our case:


1 + 1/2 = 1.5 =====> 1.5 / 2 =====> 0.75 or 3/4


Answer: 0.75 or 3/4