Question

Solve the system.
x+3y= 22
2x -y=2
(7,5)
(2,2)
(4,6)
no solution

Answer 1

x = 4 , y = 6

Explanation:

Solve the following system:

{x + 3 y = 22 | (equation 1)

2 x - y = 2 | (equation 2)

Swap equation 1 with equation 2:

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

x + 3 y = 22 | (equation 2)

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

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

0 x+(7 y)/2 = 21 | (equation 2)

Multiply equation 2 by 2/7:

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

0 x+y = 6 | (equation 2)

Add equation 2 to equation 1:

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

0 x+y = 6 | (equation 2)

Divide equation 1 by 2:

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

0 x+y = 6 | (equation 2)

Collect results:

Answer: {x = 4 , y = 6