Answer:
x = 6
, y = 4
Step-by-step explanation:
Solve the following system:
{x + y = 10
x - y = 2
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{x + y = 10
x - y = 2
Hint: | Solve for y.
Subtract x from both sides:
{y = 10 - x
x - y = 2
Hint: | Perform a substitution.
Substitute y = 10 - x into the second equation:
{y = 10 - x
2 x - 10 = 2
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{y = 10 - x
2 x - 10 = 2
Hint: | Isolate terms with x to the left hand side.
Add 10 to both sides:
{y = 10 - x
2 x = 12
Hint: | Solve for x.
Divide both sides by 2:
{y = 10 - x
x = 6
Hint: | Perform a back substitution.
Substitute x = 6 into the first equation:
{y = 4
x = 6
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 6
, y = 4
