SOLUTION: Solve the following equation for x. Please show all of your work. w = 1/4(7x - 10y)

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve the following equation for x. Please show all of your work. w = 1/4(7x - 10y)      Log On


   

Question 477494: Solve the following equation for x. Please show all of your work.
w = 1/4(7x - 10y)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

w+=+%281%2F4%29%287x+-+10y%29...first multiply
w+=+7x%2F4+-+10y%2F4...add 10y%2F4 to both sides
w+%2B10y%2F4=+7x%2F4+-+10y%2F4%2B10y%2F4
w+%2B10y%2F4=+7x%2F4+-+cross%2810y%2F4%29%2Bcross%2810y%2F4%29
w+%2B10y%2F4=+7x%2F4+... both sides multiply by 4
4w+%2B4%2A10y%2F4=+4%2A7x%2F4+
4w+%2B10y=+7x+......both sides divide by 7

4w%2F7+%2B10y%2F7=+x+

so, x=4w%2F7+%2B10y%2F7+