2x + 5y = 17 and 6x - 5y = -9 what is the solution of the system use elimination

{x = 1 , y = 3

Step-by-step explanation:

Solve the following system: using elimination:

{2 x + 5 y = 17 | (equation 1)

{6 x - 5 y = -9 | (equation 2)

Swap equation 1 with equation 2:

{6 x - 5 y = -9 | (equation 1)

{2 x + 5 y = 17 | (equation 2)

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

{6 x - 5 y = -9 | (equation 1)

{0 x+(20 y)/3 = 20 | (equation 2)

Multiply equation 2 by 3/20:

{6 x - 5 y = -9 | (equation 1)

{0 x+y = 3 | (equation 2)

Add 5 × (equation 2) to equation 1:

{6 x+0 y = 6 | (equation 1)

{0 x+y = 3 | (equation 2)

Divide equation 1 by 6:

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

{0 x+y = 3 | (equation 2)

Collect results:

 {x = 1 , y = 3

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step-by-step explanation: