Substation

Question

X+2y=8

2x-3y=2

 

Answer 1

x + 2y = 8            eq1

2x - 3y = 2             eq2

 

Multiply eq1 by 2 and keep eq2 the same.

 

2x + 4y = 16

2x - 3y = 2

 

 

Subtract both equations  to eliminate the x terms.

 

7y = 14

  y = 2

 

 

Substitute this value into eq2 to solve for x.

 

2x - 3y = 2

2x -3(2) = 2

2x - 6 = 2

2x = 8

  x = 4

 

The solutions are

 

x = 4

y = 2