Mathematics
woodaritha
10

4y-x=5+2y; 3x+7y=24 solve systen by using substitution

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yellowstone

4y - x = 5 + 2y ..... (1) 3x + 7y = 24    ..... (2) by grouping like terms in (1) 4y - x = 5 + 2y 4y - 2y - x = 5 -x + 2y = 5         ..... (1a) by multiplying (1a) through by -3 (-3)(-x) + 2(-3)y = 5(-3) 3x  -  6y = -15  ..... (1b) by subtracting 1a from 2 3x -3x + 7y - (-6y) = 24 - (-15)                       13y = 39            ⇒            y = 3 by substituting y=3 into (2)     3x + 7(3) = 24                3x = 24 - 21               3x = 3         ⇒     x = 1 ∴ solution to the system is x=1 when y = 3

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