What is the solution to the system of linear equations 3X -2Y =14 and 5X +Y equals 32

Question

Know what is the solution to the system of linear equations 3X-2y=14 5X +Y =32

Answer 1

Hi Kathy!

 

By substitution:

 

   y = 32 - 5x from the second equation.

 

 Substitutes into first equation:

 

  3x - 2(32 - 5x) = 14

 

 3x - 64 + 10x = 14

 

 13x - 64 = 14

 

13x = 78

 

 x = 6

 

Then y = 32 - 5x  = y = 32 - 5(6) = 32 - 30 = 2

 

Solution is {x=6, y=2}