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11 August, 23:05

What is the solution to the system of equations?

Use the linear combination method.

{x+y=10

x+2y=4

+2
Answers (1)
  1. 12 August, 02:17
    0
    x = 16 and y = - 6

    Step-by-step explanation:

    x + y = 10

    x + 2y = 4

    Multiply the first equation by - 1 on both sides. Rewrite below it the second original equation.

    -x - y = - 10

    x + 2y = 4

    Add the two equations above.

    y = - 6

    Now we solve for x. Multiply the first original equation by - 2 on both sides and write the second original equation below it.

    -2x - 2y = - 20

    x + 2y = 4

    Add the two equations above.

    -x = - 16

    Divide both sides by - 1.

    x = 16

    Solution: x = 16 and y = - 6
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