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12 February, 18:40

Solve the system of equations using substitution.

y = 2x - 10

y = 4x - 8

(-1, - 12)

(-4,-17)

(3,4)

(3,-4)

+4
Answers (1)
  1. 12 February, 19:05
    0
    x = - 1, y = - 12

    Step-by-step explanation using substitution:

    Solve the following system:

    {y = 2 x - 10

    y = 4 x - 8

    Hint: | Perform a substitution.

    Substitute y = 2 x - 10 into the second equation:

    {y = 2 x - 10

    2 x - 10 = 4 x - 8

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

    In the second equation, look to solve for x:

    {y = 2 x - 10

    2 x - 10 = 4 x - 8

    Hint: | Isolate x to the left hand side.

    Subtract 4 x - 10 from both sides:

    {y = 2 x - 10

    -2 x = 2

    Hint: | Solve for x.

    Divide both sides by - 2:

    {y = 2 x - 10

    x = - 1

    Hint: | Perform a back substitution.

    Substitute x = - 1 into the first equation:

    {y = - 12

    x = - 1

    Hint: | Sort results.

    Collect results in alphabetical order:

    Answer: {x = - 1, y = - 12
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