Answer:
x = 14, y= -3
Step-by-step explanation:
Solve the following system:
{2 x + 8 y = 4 | (equation 1)
{x = 5 - 3 y | (equation 2)
Express the system in standard form:
{2 x + 8 y = 4 | (equation 1)
{x + 3 y = 5 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 8 y = 4 | (equation 1)
{0 x - y = 3 | (equation 2)
Divide equation 1 by 2:
{x + 4 y = 2 | (equation 1)
{0 x - y = 3 | (equation 2)
Multiply equation 2 by -1:
{x + 4 y = 2 | (equation 1)
{0 x+y = -3 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{x+0 y = 14 | (equation 1)
{0 x+y = -3 | (equation 2)
Collect results:
Answer: x = 14, y = -3
