Solve the following system:
{y = 4 x | (equation 1)
y = x+12 | (equation 2)
Express the system in standard form:
{-(4 x)+y = 0 | (equation 1)
-x+y = 12 | (equation 2)
Subtract 1/4 × (equation 1) from equation 2:
{-(4 x)+y = 0 | (equation 1)
0 x+(3 y)/4 = 12 | (equation 2)
Multiply equation 2 by 4/3:
{-(4 x)+y = 0 | (equation 1)
0 x+y = 16 | (equation 2)
Subtract equation 2 from equation 1:
{-(4 x)+0 y = -16 | (equation 1)
0 x+y = 16 | (equation 2)
Divide equation 1 by -4:
{x+0 y = 4 | (equation 1)
0 x+y = 16 | (equation 2)
Collect results:
Answer: | x = 4 and y = 16
Solve the following system:
{y = 4 x | (equation 1)
y = x+12 | (equation 2)
Express the system in standard form:
{-(4 x)+y = 0 | (equation 1)
-x+y = 12 | (equation 2)
Subtract 1/4 × (equation 1) from equation 2:
{-(4 x)+y = 0 | (equation 1)
0 x+(3 y)/4 = 12 | (equation 2)
Multiply equation 2 by 4/3:
{-(4 x)+y = 0 | (equation 1)
0 x+y = 16 | (equation 2)
Subtract equation 2 from equation 1:
{-(4 x)+0 y = -16 | (equation 1)
0 x+y = 16 | (equation 2)
Divide equation 1 by -4:
{x+0 y = 4 | (equation 1)
0 x+y = 16 | (equation 2)
Collect results:
Answer: | x = 4 and y = 16