• 2020 December(D03) Math Question 21

    Algebraic & Function Expressions

    - Systems of Equations

    Solving pairs of equations
    Choice E

    It is given that

    y=2x+61}({)y=2x+6 \tag\{1\}
    6x+12=3y2}({)6x+12=3y \tag\{2\}

    Step 1: Plug (1) into (2)

    6x+12=3y=3(2x+6)3}({)6x+12=3y =3(2x+6)\tag\{3\}

    Step 2: Simplify (3)

    6x+12=6x+186x+12=6x+18
    =>12=8=> 12=8

    Step 3: Notice that we have come to an impossible conclusion, so there’s no solution of x and y that will make 12 equal to 8.

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