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17 October, 17:18

2x + 3y = 11

y = x-3

+3
Answers (2)
  1. 17 October, 18:39
    0
    2x+3y=11 y=x-3

    2x+3 (x-3) = 11

    2x+3x-9=11

    5x=20/:5

    x=4

    y=x-3

    y=4-3

    y=1
  2. 17 October, 20:34
    0
    x=4 and y=1

    Explanation:

    Let's solve your system by substitution.

    2x+3y=11; y=x-3

    Rewrite equations:

    y=x-3; 2x+3y=11

    Step: Solve y=x-3 for y:

    y=x-3

    Step: Substitute x-3 for y in 2x+3y=11:

    2x+3y=11

    2x+3 (x-3) = 11

    5x-9=11 (Simplify both sides of the equation)

    5x-9+9=11+9 (Add 9 to both sides)

    5x=20

    5x/5=20/5

    (Divide both sides by 5)

    x=4

    Step: Substitute 4 for x in y=x-3:

    y=x-3

    y=4-3

    y=1 (Simplify both sides of the equation)

    Answer:

    x=4 and y=1
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