Solving the elimination method what is 3x-y=9 2x-y=7

x=2 y=7.

Step-by-step explanation:

3x-y=9

-2x+y=7

x=2

2 (2) + y=7

4+y=7

-4. - 4

y=7

x = 2, y = - 3

Step-by-step explanation by elimination:

Solve the following system:

{3 x - y = 9 | (equation 1)

2 x - y = 7 | (equation 2)

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

{3 x - y = 9 | (equation 1)

0 x - y/3 = 1 | (equation 2)

Multiply equation 2 by 3:

{3 x - y = 9 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by - 1:

{3 x - y = 9 | (equation 1)

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

Add equation 2 to equation 1:

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

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

Divide equation 1 by 3:

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

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

Collect results:

Answer: {x = 2, y = - 3