Find the solution of this system of equations. Separate the x- and y-values with a comma. x = -11 + y and 10x – 5y = -10

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Find the solution of this system of equations. Separate the x- and y-values with a comma. x = -11 + y and 10x – 5y = -10

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    2021-10-15T01:19:11+00:00

    substitute x = -11 + y in 10x – 5y = -10
    10(-11+y)-5y=10    distribute 10 with -11 and y
    10(-11) + 10(y) – 5y=10     =>>  -110 +10y -5y  =10
    combine like terms   -110 +5y=10
    add 110 to both sides to get the variable on one side    5y = 10+110  (120)
    5y=120  divide both sides by 5 to get variable by itself  120/5=24
    so y = 24
    now replace the y with 24 to find x
    x=-11+24   24 – 11 = 13  
    x=13
    therefore, y=24 and x=13
    hope this helps 🙂

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