find x and y using subsitution -3x + y = 6 5x + 2y =23

Question

find x and y using subsitution

-3x + y = 6
5x + 2y =23

0

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    0
    2021-09-10T06:57:24+00:00

    \left\{\begin{array}{ccc}-3x+y=6&|\text{add 3x to both sides}\\5x+2y=23\end{array}\right\\\\\left\{\begin{array}{ccc}y=3x+6\\5x+2y=23\end{array}\right\\\\\text{substitute}\ y=3x+6\ \text{to the second equation}\\\\5x+2(3x+6)=23\qquad|\text{use distributive property}\\\\5x+(2)(3x)+(2)(6)=23\\\\5x+6x+12=23\qquad|\text{subtract 12 from both sides}\\\\11x=11\qquad|\text{divide both sides by 11}\\\\\boxed{x=1}\\\\\text{subtract the value of x to the first equation}\\\\y=3(1)+6\\\\y=3+6\\\\\boxed{y=9}

    Answer: x = 1 and y = 9 → (1, 9).

    0
    2021-09-10T06:57:25+00:00

    5x+2y=23
    -3x+y=6

    —————-
    8x+y=17
    -3x+y=6

    ——————
    11x=11
    X=1

    5+2y=23
    2y = 18
    Y= 9

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