Question

Please hurry!! Solve the system of equations:

[12y=x-5
[-2x +9y5

O x = 5, y = 0
O x = -7₁ y = -1
O Cannot be determined from the information given
○x=-1₁ y = -7 ​

Answer 1

x = -7, y = -1

Explanation:

Solve the following system:

{12 y = x - 5 | (equation 1)

9 y - 2 x = 5 | (equation 2)

Express the system in standard form:

{-x + 12 y = -5 | (equation 1)

-(2 x) + 9 y = 5 | (equation 2)

Swap equation 1 with equation 2:

{-(2 x) + 9 y = 5 | (equation 1)

-x + 12 y = -5 | (equation 2)

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

{-(2 x) + 9 y = 5 | (equation 1)

0 x + (15 y)/2 = -15/2 | (equation 2)

Multiply equation 2 by 2/15:

{-(2 x) + 9 y = 5 | (equation 1)

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

Subtract 9 × (equation 2) from equation 1:

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

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

Divide equation 1 by -2:

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

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

Collect results:

Answer:{x = -7, y = -1