Find the solution to the following system using substitution or elimination

y=2x+6

y=-3x+11

A. (1,8)

B. (17/5,4/5)

C. (-7,-8)

D. (-1,4)

x = 1, y = 8 thus: A. is your answer

Step-by-step explanation using substitution:

Solve the following system:

{y = 2 x + 6

y = 11 - 3 x

Hint: | Perform a substitution.

Substitute y = 2 x + 6 into the second equation:

{y = 2 x + 6

2 x + 6 = 11 - 3 x

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = 2 x + 6

2 x + 6 = 11 - 3 x

Hint: | Isolate x to the left hand side.

Subtract 6 - 3 x from both sides:

{y = 2 x + 6

5 x = 5

Hint: | Solve for x.

Divide both sides by 5:

{y = 2 x + 6

x = 1

Hint: | Perform a back substitution.

Substitute x = 1 into the first equation:

{y = 8

x = 1

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 1, y = 8