Answer:
x = -1
, y = -12
Step-by-step explanation using substitution:
Solve the following system:
{y = 2 x - 10
y = 4 x - 8
Hint: | Perform a substitution.
Substitute y = 2 x - 10 into the second equation:
{y = 2 x - 10
2 x - 10 = 4 x - 8
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{y = 2 x - 10
2 x - 10 = 4 x - 8
Hint: | Isolate x to the left hand side.
Subtract 4 x - 10 from both sides:
{y = 2 x - 10
-2 x = 2
Hint: | Solve for x.
Divide both sides by -2:
{y = 2 x - 10
x = -1
Hint: | Perform a back substitution.
Substitute x = -1 into the first equation:
{y = -12
x = -1
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = -1
, y = -12
