Answer:
x = 108/5 , y = 186/5
Explanation:
Solve the following system:
{y = 2 x - 6 | (equation 1)
y = 48 - x/2 | (equation 2)
Express the system in standard form:
{-(2 x) + y = -6 | (equation 1)
x/2 + y = 48 | (equation 2)
Add 1/4 × (equation 1) to equation 2:
{-(2 x) + y = -6 | (equation 1)
0 x+(5 y)/4 = 93/2 | (equation 2)
Multiply equation 2 by 4:
{-(2 x) + y = -6 | (equation 1)
0 x+5 y = 186 | (equation 2)
Divide equation 2 by 5:
{-(2 x) + y = -6 | (equation 1)
0 x+y = 186/5 | (equation 2)
Subtract equation 2 from equation 1:
{-(2 x)+0 y = (-216)/5 | (equation 1)
0 x+y = 186/5 | (equation 2)
Divide equation 1 by -2:
{x+0 y = 108/5 | (equation 1)
0 x+y = 186/5 | (equation 2)
Collect results:
Answer: {x = 108/5 , y = 186/5