SOLUTION: If x2 + y2 = 32 and 2x - 2y = 6, then what is x? If there are two possible answers, then enter the larger of the two.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: If x2 + y2 = 32 and 2x - 2y = 6, then what is x? If there are two possible answers, then enter the larger of the two.      Log On


   

Question 1057941: If x2 + y2 = 32 and 2x - 2y = 6, then what is x? If there are two possible answers, then enter the larger of the two.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Use simple substitution and solve for x.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

If x2 + y2 = 32 and 2x - 2y = 6, then what is x? If there are two possible answers, then enter the larger of the two.
x%5E2+%2B+y%5E2+=+32 -------- eq (i)

Reduce 2x - 2y = 6 by dividing by GCF, 2 to get: x - y = 3___x = 3 + y ---- (ii)

Substitute 3 + y for x in eq (i) to get value(s) for y

Substitute value(s) for y into any of the 2 original equations (equation ii is EASIER) to get value(s) for x

That's it....nothing COMPLEX!