Answer:
x = -5/4, y = 0
Step-by-step explanation:
Solve the following system:
{4 x + 6 y = -5 | (equation 1)
{8 x = 12 y - 10 | (equation 2)
Express the system in standard form:
{4 x + 6 y = -5 | (equation 1)
{8 x - 12 y = -10 | (equation 2)
Swap equation 1 with equation 2:
{8 x - 12 y = -10 | (equation 1)
{4 x + 6 y = -5 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{8 x - 12 y = -10 | (equation 1)
{0 x+12 y = 0 | (equation 2)
Divide equation 1 by 2:
{4 x - 6 y = -5 | (equation 1)
{0 x+12 y = 0 | (equation 2)
Divide equation 2 by 12:
{4 x - 6 y = -5 | (equation 1)
{0 x+y = 0 | (equation 2)
Add 6 × (equation 2) to equation 1:
{4 x+0 y = -5 | (equation 1)
{0 x+y = 0 | (equation 2)
Divide equation 1 by 4:
{x+0 y = (-5)/4 | (equation 1)
{0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = -5/4, y = 0
