SOLUTION: Solve the system using addition/elimination method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options. {(2x,-,3y,=,-13),(3x,-,2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve the system using addition/elimination method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options. {(2x,-,3y,=,-13),(3x,-,2      Log On


   

Question 1205767: Solve the system using addition/elimination method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options.
{(2x,-,3y,=,-13),(3x,-,2y,=,-7):}
A. One solution:
B. No solution
C. Infinite number of solutions
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

2x-3y=-13.....eq.1=> both sides multiply by 3
3x-2y=-7......eq.2=> both sides multiply by+2
------------------------
6x-9y=-39.....eq.1
6x-4y=-14......eq.2
------------------------subtract
6x-9y-%286x-4y%29=-39-%28-14%29
6x-9y-6x%2B4y=-39%2B14
-5y=-25
y=-25%2F-5
y=5

go to
3x-2y=-7......eq.2, substitute y
3x-2%2A5=-7
3x-10=-7
3x=10-7
3x=3
x=1

A. One solution:
ordered pair: (1,5)