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use the elimination method to solve the system of equations. choose the correct ordered pair. 7x+3y=30 -2x+3y=3

1 Answer

4 votes

Answer:

x = 3, y = 3

Explanation:

Elimination method to find x:

(7x + 3y = 30) * -1 ===> -7x - 3y = -30

-2x + 3y = 3

add two equations to eliminate y ______________

-9x = -27 ===> x = 3

substitution to find y:

-2x + 3y = 3

-2(3) + 3y = 3

-6 + 3y = 3

3y = 9

y = 3

Elimination method to find y:

(7x + 3y = 30) * 2 ===> 14x + 6y = 60

(-2x + 3y = 3) * 7 ===> -14x + 21y = 21

add two equations to eliminate x ______________

27y = 81 ===> y = 3

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