Solving systems by substitution:

Y=4x-17

4x+6y=10

It's not a multiple choice answer is it?

{x = 4, y = - 1

Step-by-step 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