SOLUTION: My weekly salary is $40 less than twice my colleague's salary. If together our salaries total $2060, what is my salary?

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Question 394289: My weekly salary is $40 less than twice my colleague's salary. If together our salaries total $2060, what is my salary?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if your weekly salary x is $40 less than twice your colleague's salary y, you can write it as:

x+-+40+=+2y........(1)

If together your salaries total $2060, you can write it as:

x+%2B+y+=+2060........(2)

to find out what is your salary, solve this system:

x+-+40+=+2y........(1)

x+%2B+y+=+2060........(2)
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x+-+40+=+2y........(1).solve for x

x+=+2y+-+40........(1)......substitute in (2)



2y+-+40+%2B+y+=+2060........(2)...solve for y

3y+=+2060+%2B+40

3y+=+2100+

y+=+2100%2F3+

y+=+700+.....now find x

x+=+2y+-+40

x+=+2%28700%29+-+40

x+=+1400+-+40

x+=+1360........your salary