Answer:
x = 2
, y = -7
Step-by-step explanation:
Solve the following system:
{y = 1 - 4 x | (equation 1)
{y = -2 x - 3 | (equation 2)
Express the system in standard form:
{4 x + y = 1 | (equation 1)
{2 x + y = -3 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + y = 1 | (equation 1)
{0 x+y/2 = -7/2 | (equation 2)
Multiply equation 2 by 2:
{4 x + y = 1 | (equation 1)
{0 x+y = -7 | (equation 2)
Subtract equation 2 from equation 1:
{4 x+0 y = 8 | (equation 1)
{0 x+y = -7 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 2 | (equation 1)
{0 x+y = -7 | (equation 2)
Collect results:
Answer: {x = 2
, y = -7
