Answer:
x = 1/2
, y = 3/2
Step-by-step explanation:
Solve the following system:
{3 y + x = 5
-2 x - 4 = -5
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{3 y + x = 5
-2 x - 4 = -5
Hint: | Isolate terms with x to the left hand side.
Add 4 to both sides:
{3 y + x = 5
-2 x = -1
Hint: | Solve for x.
Divide both sides by -2:
{3 y + x = 5
x = 1/2
Hint: | Perform a substitution.
Substitute x = 1/2 into the first equation:
{3 y + 1/2 = 5
x = 1/2
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{3 y + 1/2 = 5
x = 1/2
Hint: | Isolate terms with y to the left hand side.
Subtract 1/2 from both sides:
{3 y = 9/2
x = 1/2
Hint: | Solve for y.
Divide both sides by 3:
{y = 3/2
x = 1/2
Hint: | Sort results.
Collect results in alphabetical order:
Answer:{x = 1/2
, y = 3/2
