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