solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​

Question

solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​

in progress 0
Huyền Thanh 1 month 2021-08-15T05:18:50+00:00 1 Answers 1 views 0

Answers ( )

    0
    2021-08-15T05:19:53+00:00

    Answer:

    Solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​we get x=2 and y=-3

    Solution set = {2,-3}

    Step-by-step explanation:

    We need to solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​

    let:

    3x-2y=12--eq(1)\\x+3y=-7 --eq(2)

    Finding value of x from equation 2 and putting in eq(1)

    From \ eq(2)\\x+3y=-7\\x=-7-3y

    Putting value of x in eq(1)

    3x-2y=12\\Put \ x=-7-3y\\3(-7-3y)-2y=12\\Solving\\-21-9y-2y=12\\-11y=12+21\\-11y=33\\y=\frac{33}{-11}\\y=-3

    So, we get y=-3

    Now put value of y in equation 2 to find value of x

    x+3y=-7\\x+3(-3)=-7\\x-9=-7\\x=-7+9\\x=2

    So, we get value of x =2

    So, solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​we get x=2 and y=-3

    Solution set = {2,-3}

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )