3x+2y=12+y 4y-7x=10 solve

x = 2, y = 6

Step-by-step explanation:

Solve the following system:

{3 x + 2 y = y + 12 | (equation 1)

4 y - 7 x = 10 | (equation 2)

Express the system in standard form:

{3 x + y = 12 | (equation 1)

- (7 x) + 4 y = 10 | (equation 2)

Swap equation 1 with equation 2:

{ - (7 x) + 4 y = 10 | (equation 1)

3 x + y = 12 | (equation 2)

Add 3/7 * (equation 1) to equation 2:

{ - (7 x) + 4 y = 10 | (equation 1)

0 x + (19 y) / 7 = 114/7 | (equation 2)

Multiply equation 2 by 7/19:

{ - (7 x) + 4 y = 10 | (equation 1)

0 x+y = 6 | (equation 2)

Subtract 4 * (equation 2) from equation 1:

{ - (7 x) + 0 y = - 14 | (equation 1)

0 x+y = 6 | (equation 2)

Divide equation 1 by - 7:

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

0 x+y = 6 | (equation 2)

Collect results:

Answer:{x = 2, y = 6

x=2 y=6