Answer:
x = 1
, y = 2
Step-by-step explanation:
Solve the following system:
{2 x - 3 y = -4
x + 3 y = 7
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{2 x - 3 y = -4
x + 3 y = 7
Hint: | Solve for x.
Subtract 3 y from both sides:
{2 x - 3 y = -4
x = 7 - 3 y
Hint: | Perform a substitution.
Substitute x = 7 - 3 y into the first equation:
{2 (7 - 3 y) - 3 y = -4
x = 7 - 3 y
Hint: | Expand the left hand side of the equation 2 (7 - 3 y) - 3 y = -4.
2 (7 - 3 y) - 3 y = (14 - 6 y) - 3 y = 14 - 9 y:
{14 - 9 y = -4
x = 7 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{14 - 9 y = -4
x = 7 - 3 y
Hint: | Isolate terms with y to the left hand side.
Subtract 14 from both sides:
{-9 y = -18
x = 7 - 3 y
Hint: | Solve for y.
Divide both sides by -9:
{y = 2
x = 7 - 3 y
Hint: | Perform a back substitution.
Substitute y = 2 into the second equation:
{y = 2
x = 1
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 1
, y = 2
