Answer:
x = 3
, y = 1 (see attachment)
Step-by-step explanation:
Solve the following system:
{y = 4 - x
{y = x - 2
Hint: | Perform a substitution.
Substitute y = 4 - x into the second equation:
{y = 4 - x
{4 - x = x - 2
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{y = 4 - x
{4 - x = x - 2
Hint: | Isolate x to the left hand side.
Subtract x + 4 from both sides:
{y = 4 - x
{-2 x = -6
Hint: | Solve for x.
Divide both sides by -2:
{y = 4 - x
{x = 3
Hint: | Perform a back substitution.
Substitute x = 3 into the first equation:
{y = 1
{x = 3
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 3
, y = 1
