Question

Simultaneous equations 3x + 2y= 13x + 2y= -1

Answer 1

Answer:

{x = 7  , y = -4

Step-by-step explanation:

Solve the following system:

{3 x + 2 y = 13 | (equation 1)

{x + 2 y = -1 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 x + 2 y = 13 | (equation 1)

{0 x+(4 y)/3 = (-16)/3 | (equation 2)

Multiply equation 2 by 3/4:

{3 x + 2 y = 13 | (equation 1)

{0 x+y = -4 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{3 x+0 y = 21 | (equation 1)

{0 x+y = -4 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 7 | (equation 1)

{0 x+y = -4 | (equation 2)

Collect results:

Answer:  {x = 7  , y = -4