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6 December, 01:18

What is the solution of the system?

{2x+y=15

{x-y=3

+2
Answers (2)
  1. 6 December, 02:38
    0
    X=6 AND y = 3

    (6,3) in ordered-pair form
  2. 6 December, 04:19
    0
    We could use substitution method to solve the problem since it's much easier on this system.

    First, we need to change x to the value of y. Use the second equation.

    x - y = 3

    x = 3 + y

    Second, subtitute 3 + y to the x in the first equation

    2x + y = 15

    2 (3 + y) + y = 15

    6 + 2y + y = 15

    6 + 3y = 15

    3y = 15 - 6

    3y = 9

    y = 3

    Third, we already found y, now subtitute 3 to y in the first equation to find the value of x

    x = 3 + y

    x = 3 + 3

    x = 6

    The solution = (6,3)

    x = 6

    y = 3
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