10) Solve the system by the elimination method. Check the solution. x + 2y = 6 -x + 5y = 8

Question

10) Solve the system by the elimination method. Check the solution.

x + 2y = 6
-x + 5y = 8

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Lyla 3 months 2022-02-12T03:06:46+00:00 1 Answer 0 views 0

Answers ( )

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    2022-02-12T03:08:14+00:00

    Answer:

    x =2, y = 2

    Step-by-step explanation:

    [tex] x + 2y = 6….(1) \\

    -x + 5y = 8….(2) \\ adding \: equations \: (1) \: and \: (2) \\

    x + 2y = 6\\

    -x + 5y = 8 \\ – – – – – – – \\ 7y = 14 \\ y = \frac{14}{7} \\ \huge \red{ \boxed{ y = 2}} \\ substituting \: y = 2 \: in \: equation \: (1) \\ x + 2 \times 2 = 6 \\ x + 4 = 6 \\ x = 6 – 4 \\\huge \purple{ \boxed{ x = 2}} \\ \\ \huge \orange{ \boxed{(x, \: y) = (2, \: 2)}}[/tex]

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