Question

Find the solution of the system of equations -7 -7y =-41 x-6y = -37

Answer 1

x = -55/7, y = 34/7

Explanation:

Solve the following system:

{-7 y - 7 = -41 | (equation 1)

-6 y + x = -37 | (equation 2)

Express the system in standard form:

{0 x - 7 y = -34 | (equation 1)

x - 6 y = -37 | (equation 2)

Swap equation 1 with equation 2:

{x - 6 y = -37 | (equation 1)

0 x - 7 y = -34 | (equation 2)

Multiply equation 2 by -1:

{x - 6 y = -37 | (equation 1)

0 x + 7 y = 34 | (equation 2)

Divide equation 2 by 7:

{x - 6 y = -37 | (equation 1)

0 x + y = 34/7 | (equation 2)

Add 6 × (equation 2) to equation 1:

{x + 0 y = -55/7 | (equation 1)

0 x + y = 34/7 | (equation 2)

Collect results:

Answer: {x = -55/7, y = 34/7