Q:

Solve the system.x+3y= 222x -y=2(7,5)(2,2)(4,6)no solution

Accepted Solution

A:
Answer:x = 4 , y = 6Step-by-step 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 Γ— (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