Solve the system of linear equations using elimination. - 7x + 3y = - 6 - 3x + 3y = 6

(3, 5)

Step-by-step explanation:

-7x + 3y = - 6

-3x + 3y = 6

Subtract the second equation from the first.

-4x = - 12

x = 3

Then substitute. → - 7x + 3y = - 6 → - 7 (3) + 3y = - 6

y = 5

x = 3, y = 5

Step-by-step explanation:

Solve the following system:

{3 y - 7 x = - 6 | (equation 1)

3 y - 3 x = 6 | (equation 2)

Subtract 3/7 * (equation 1) from equation 2:

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

0 x + (12 y) / 7 = 60/7 | (equation 2)

Multiply equation 2 by 7/12:

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

0 x+y = 5 | (equation 2)

Subtract 3 * (equation 2) from equation 1:

{ - (7 x) + 0 y = - 21 | (equation 1)

0 x+y = 5 | (equation 2)

Divide equation 1 by - 7:

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

0 x+y = 5 | (equation 2)

Collect results:

Answer: {x = 3, y = 5