​ ​ ​ ​​ ​2x=3y−1 ​6x−9y=−3 ​​ How many solutions does the system have?

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​ ​ ​ ​​ ​2x=3y−1 ​6x−9y=−3 ​​ How many solutions does the system have?

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    0
    2021-11-15T14:33:36+00:00

    2x= 3y-1
    6x-9y= -3
    So we can solve in 2 ways.

    1- Substitution
    2- Summate 2 equations

    The 1st solution:
    Choose x or y’s congruent in one of the equation and find with residual equation.

    2x= 3y-1
    6x is three times of 2x so 6x= 3(3y-1)
    6x= 9y-3

    6x-9y=-3
    9y-3-9y= -3
    0=0

    Solution set = (R)

    2nd solution;

    2x-3y=-1
    6x-9y= -3

    Multiple the first equation with (-3).

    -6x+9y=3
      6x-9y=-3

    0=0
    Solution set= (R)

    Hope it helps!
    #MissionExam001

    0
    2021-11-15T14:34:05+00:00

    2x = 3y−1 (1st)

    ​6x−9y=−3
    6x = 9y – 3
    divide 3 to both sides
    2x = 3y – 1 (2nd)

    both equation (1st) and (2nd) is the same
    answer
    Many infinitely solutions

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