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