Answer:
{x = 4, y = -1
Explanation:
Solve the following system: by substitution:
{y = 4 x - 17
{4 x + 6 y = 10
Hint: | Perform a substitution.
Substitute y = 4 x - 17 into the second equation:
{y = 4 x - 17
{4 x + 6 (4 x - 17) = 10
Hint: | Expand the left hand side of the equation 4 x + 6 (4 x - 17) = 10.
4 x + 6 (4 x - 17) = (24 x - 102) + 4 x = 28 x - 102:
{y = 4 x - 17
{28 x - 102 = 10
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{y = 4 x - 17
{28 x - 102 = 10
Hint: | Isolate terms with x to the left hand side.
Add 102 to both sides:
{y = 4 x - 17
{28 x = 112
Hint: | Solve for x.
Divide both sides by 28:
{y = 4 x - 17
{x = 4
Hint: | Perform a back substitution.
Substitute x = 4 into the first equation:
{y = -1
{x = 4
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 4
, y = -1