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Find the solution of the system of equations
9x+y=28
3x+3y=-12

User Icube
by
4.7k points

1 Answer

3 votes

Answer:

(4, - 8 )

Explanation:

9x + y = 28 ( subtract 9x from both sides )

y = 28 - 9x → (1)

3x + 3y = - 12

substitute y = 28 - 9x into (2)

3x + 3(28 - 9x) = - 12 ← distribute parenthesis on left side and substitute

3x + 84 - 27x = - 12

- 24x + 84 = - 12 ( subtract 84 from both sides )

- 24x = - 96 ( divide both sides by - 24 )

x = 4

substitute x = 4 into (1)

y = 28 - 9(4) = 28 - 36 = - 8

solution is (4, - 8 )

User Davidsleeps
by
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