Solve the following system:
{1.5 x + 0.25 y = 2
{x + y = 1
In the second equation, look to solve for y:
{1.5 x + 0.25 y = 2
{x + y = 1
Subtract x from both sides:
{1.5 x + 0.25 y = 2
{y = 1 - x
Substitute y = 1 - x into the first equation:
{0.25 (1 - x) + 1.5 x = 2
{y = 1 - x
0.25 (1 - x) + 1.5 x = 1.5 x + (0.25 - 0.25 x) = 1.25 x + 0.25:
{1.25 x + 0.25 = 2
{y = 1 - x
In the first equation, look to solve for x:
{1.25 x + 0.25 = 2
{y = 1 - x
1.25 x + 0.25 = (5 x)/4 + 1/4:
(5 x)/4 + 1/4 = 2
Subtract 1/4 from both sides:
{(5 x)/4 = 7/4
{y = 1 - x
Multiply both sides by 4/5:
{x = 7/5
{y = 1 - x
Substitute x = 7/5 into the second equation:
Answer: {x = 7/5, y = (-2)/5
