10 x - 7 y = 2 6 x -7 y = 18 elimination

x = -4 , y = -6

Step-by-step explanation using elimination:

Solve the following system:

{10 x - 7 y = 2 | (equation 1)

{6 x - 7 y = 18 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{10 x - 7 y = 2 | (equation 1)

{0 x - (14 y)/5 = 84/5 | (equation 2)

Multiply equation 2 by 5/14:

{10 x - 7 y = 2 | (equation 1)

{0 x - y = 6 | (equation 2)

Multiply equation 2 by -1:

{10 x - 7 y = 2 | (equation 1)

{0 x+y = -6 | (equation 2)

Add 7 × (equation 2) to equation 1:

{10 x+0 y = -40 | (equation 1)

{0 x+y = -6 | (equation 2)

Divide equation 1 by 10:

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

{0 x+y = -6 | (equation 2)

Collect results:

{x = -4 , y = -6