Solve the Following system of linear equations

Question

Solve the following system of linear equations. Present your solution as an ordered pair (x,y).

 

3x+4y=22

x-2y=-16

Answer 1

Lancaster, PA here!

 

Solves first equation for x. You have:

x = 2y-16

 

 

Substitutes that into first equation:

  3(2y - 16) + 4y = 22

  6y - 48 + 4y = 22

  10y - 48 = 22

  10y = 70

  y = 7

 

 x = 2y-16 = 2(7)-16 = 14-16 = -2

 

 CHECK:

 1st equation: 3(-2) + 4(7) = -6 + 28 = 22

 2nd equation: -2 - 2(7) = -2 - 14 = -16

 

 (-2. 7)