Post a New Question

MATH214

posted by on .

Solve each of the following systems, if possible. Indicate whether the system has a unique solution, infinitely many solutions or no solution.

(a) 3y = x – 10
y = x – 2

(b)x + y = 5
3x + 3y = 15

  • MATH214 - ,

    (a) 3y = x - 10
    substitute in the 2nd equation
    3(x-2) = x - 10
    3x - 6 = x - 10
    simplifing...
    2x = -4 or x = -2 and y = -4
    this is a unique solution
    (b) this system has infinitely many solutions and cannot be solved without more information.

    3x + 3y = 15
    divide equation by 3
    (3/3)x + (3/3)y = 15/3 or
    x + y = 5
    so the equations are essentially identical.

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question