Question

solve this system of linear equations. separate the x- and y-values with a comma. -12x = -75 - 11y -5x = -89 - 11y

Answer 1

x = -2 , y= -9

Explanation:

Solve the following system:

{-12 x = -11 y - 75 | (equation 1)

{-5 x = -11 y - 89 | (equation 2)

Express the system in standard form:

{-(12 x) + 11 y = -75 | (equation 1)

{-(5 x) + 11 y = -89 | (equation 2)

Subtract 5/12 × (equation 1) from equation 2:

{-(12 x) + 11 y = -75 | (equation 1)

{0 x+(77 y)/12 = (-231)/4 | (equation 2)

Multiply equation 2 by 12/77:

{-(12 x) + 11 y = -75 | (equation 1)

{0 x+y = -9 | (equation 2)

Subtract 11 × (equation 2) from equation 1:

{-(12 x)+0 y = 24 | (equation 1)

{0 x+y = -9 | (equation 2)

Divide equation 1 by -12:

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

{0 x+y = -9 | (equation 2)

Collect results:

Answer: {x = -2 , y= -9