SOLUTION: Write a system of two equations in two unknowns. Solve the system by using the ssubstitution method. Bill and Sue earn $76,433 per year. If Bill earns $15,000 less than twice Su

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Write a system of two equations in two unknowns. Solve the system by using the ssubstitution method. Bill and Sue earn $76,433 per year. If Bill earns $15,000 less than twice Su      Log On


   

Question 106835: Write a system of two equations in two unknowns. Solve the system by using the ssubstitution method. Bill and Sue earn $76,433 per year. If Bill earns $15,000 less than twice Sue's salary, then how much does each person earn per year?
Ok I know how to use the substitution method, but how would I set this problem up? Thanks for your help!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
76433+=+x%2By
x-+%2815000%29+=2y+ => y+=+%28x-+15000%29%2F2
Substitute y in first equation
76433++=+x+%2B+%28x-+15000%29%2F2
76433+=+x+%2B+x%2F2+– 7500
76433+%2B+7500+=+3%2F2+x
83933+=+3%2F2x
x++=+83933%2F%283%2F2%29
x++=++83933%2F1.5
x+=55955.33
y++=+%2855955.33-+%2815000%29%29%2F2=++40955.33%2F2=++20477.67