6 x + y = 1

y = 2 x - 3

Select one:

A. (1, 4)

B. (1/2, - 2)

C. (2, - 2)

D. (4, 2)

x = 1/2, y = - 2 thus the answer is B.)

Step-by-step explanation:

Solve the following system:

{6 x + y = 1 | (equation 1)

y = 2 x - 3 | (equation 2)

Express the system in standard form:

{6 x + y = 1 | (equation 1)

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

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

{6 x + y = 1 | (equation 1)

0 x + (4 y) / 3 = - 8/3 | (equation 2)

Multiply equation 2 by 3/4:

{6 x + y = 1 | (equation 1)

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

Subtract equation 2 from equation 1:

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

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

Divide equation 1 by 6:

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

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

Collect results:

Answer: {x = 1/2, y = - 2