Question

Solve the system using elimination 2x+3y=14 x+5y=14

Answer 1

Answer:

x = 4 , y = 2

Step-by-step explanation by elimination:

Solve the following system:

{2 x + 3 y = 14 | (equation 1)

x + 5 y = 14 | (equation 2)

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

{2 x + 3 y = 14 | (equation 1)

0 x+(7 y)/2 = 7 | (equation 2)

Multiply equation 2 by 2/7:

{2 x + 3 y = 14 | (equation 1)

0 x+y = 2 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{2 x+0 y = 8 | (equation 1)

0 x+y = 2 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 4 | (equation 1)

0 x+y = 2 | (equation 2)

Collect results:

Answer: {x = 4 , y = 2

Answer 2

NVM my answer was wrong so i edited it