Ask Question
22 April, 13:55

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)

+1
Answers (1)
  1. 22 April, 15:22
    0
    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
Know the Answer?