SOLUTION: Solve the simultaneous equations y = |x - 5| and y = |3 - 2x| + 2

Algebra ->  Test -> SOLUTION: Solve the simultaneous equations y = |x - 5| and y = |3 - 2x| + 2      Log On


   

Question 1184886: Solve the simultaneous equations y = |x - 5| and y = |3 - 2x| + 2
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Not the whole solution, but both expressions of y would be equal, so
abs%28x-5%29=abs%283-2x%29%2B2

The critical x values are at 5 and at 3/2. Intervals on x using these critical points would be system%28x%3C3%2F2%2C+3%2F2%3Cx%3C5%2C+5%3Cx%29. Any values of the absolute values expressions are either negative or nonnegative; you determine which between negative or nonnegative in each interval. You may have three separate equations to solve, and then TEST each result in the original two equations.