Solve the following system:
{y-4 x = 0 | (equation 1)
3 x+6 y = 9 | (equation 2)
Add 3/4 × (equation 1) to equation 2:
{-(4 x)+y = 0 | (equation 1)
0 x+(27 y)/4 = 9 | (equation 2)
Multiply equation 2 by 4/9:
{-(4 x)+y = 0 | (equation 1)
0 x+3 y = 4 | (equation 2)
Divide equation 2 by 3:
{-(4 x)+y = 0 | (equation 1)
0 x+y = 4/3 | (equation 2)
Subtract equation 2 from equation 1:
{-(4 x)+0 y = (-4)/3 | (equation 1)
0 x+y = 4/3 | (equation 2)
Divide equation 1 by -4:
{x+0 y = 1/3 | (equation 1)
0 x+y = 4/3 | (equation 2)
Collect results:
Answer: | {x = 1/3 y = 4/3
Solve the following system:
{y-4 x = 0
3 x+6 y = 9
In the first equation, look to solve for y:
{y-4 x = 0
3 x+6 y = 9
Add 4 x to both sides:
{y = 4 x
3 x+6 y = 9
Substitute y = 4 x into the second equation:
{y = 4 x
27 x = 9
In the second equation, look to solve for x:
{y = 4 x
27 x = 9
Divide both sides by 27:
{y = 4 x
x = 1/3
Substitute x = 1/3 into the first equation:
{y = 4/3
x = 1/3
Collect results in alphabetical order:
Answer: | {x = 1/3 y = 4/3
