Question

Solve by substitution y = 2x - 5 and 3y - x = 5

Answer 1

Answer:

  (x, y) = (4, 3)

Step-by-step explanation:

The first equation gives an expression for y that can be substituted into the second equation:

  3(2x -5) -x = 5

  5x -15 = 5 . . . . . . simplify

  5x = 20 . . . . . . . .add 15

  x = 4 . . . . . . . . . . divide by 5

  y = 2(4) -5 = 3 . . substitute for x in the first equation

  (x, y) = (4, 3)

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Solution by graphing confirms this result.