Answer:
x = 0
, y = 2
Step-by-step explanation:
Solve the following system:
{2 x + 4 y = 8 | (equation 1)
x = 3 y - 6 | (equation 2)
Express the system in standard form:
{2 x + 4 y = 8 | (equation 1)
x - 3 y = -6 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 4 y = 8 | (equation 1)
0 x - 5 y = -10 | (equation 2)
Divide equation 1 by 2:
{x + 2 y = 4 | (equation 1)
0 x - 5 y = -10 | (equation 2)
Divide equation 2 by -5:
{x + 2 y = 4 | (equation 1)
0 x+y = 2 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{x+0 y = 0 | (equation 1)
0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = 0
, y = 2
