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2x+5y=19 y)=3x-3 use substitution

Sagot :

Answer:

x = 2 , y = 3

Step-by-step explanation:

given the system of equations

2x + 5y = 19 → (1)

y = 3x - 3 → (2)

substitute y = 3x - 3 into (1)

2x + 5(3x - 3) = 19 ← distribute parenthesis on left side and simplify

2x + 15x - 15 = 19

17x - 15 = 19 ( add 15 to both sides )

17x = 34 ( divide both sides by 17 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (2)

y = 3x - 3 = 3(2) - 3 = 6 - 3 = 3

The solution is x = 2 , y = 3

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