Answer:
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
