Answer:
x = 6, y = -11
Step-by-step explanation using the substitution:
Solve the following system:
{y = 7 - 3 x
{x = -2 y - 16
Hint: | Perform a substitution.
Substitute y = 7 - 3 x into the second equation:
{y = 7 - 3 x
{x = -2 (7 - 3 x) - 16
Hint: | Expand the right hand side of the equation x = -2 (7 - 3 x) - 16.
-2 (7 - 3 x) - 16 = (6 x - 14) - 16 = 6 x - 30:
{y = 7 - 3 x
{x = 6 x - 30
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{y = 7 - 3 x
{x = 6 x - 30
Hint: | Isolate x to the left hand side.
Subtract 6 x from both sides:
{y = 7 - 3 x
{-5 x = -30
Hint: | Solve for x.
Divide both sides by -5:
{y = 7 - 3 x
{x = 6
Hint: | Perform a back substitution.
Substitute x = 6 into the first equation:
{y = -11
{x = 6
Hint: | Sort results.
Collect results in alphabetical order:
Answer: x =6, y = -11
