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Determine the solution to the system of equations below. -5x – 7y = 11 x – 2y = -9 Responses A Infinitely many solutionsInfinitely many solutions B x = -5, y = 2x = -5, y = 2 C No solutionNo solution D x = -5, y = -7



Answer :

Answer:

x = - 5 , y = 2

Step-by-step explanation:

given the system of equations

- 5x - 7y = 11 → (1)

x - 2y = - 9 → (2)

multiplying (2) by 5 and adding the result to (1) will eliminate x

5x - 10y = - 45 → (3)

add (1) and (3) term by term to eliminate x

(- 5x + 5x ) + (- 7y - 10y ) = 11 - 45

0 + (- 17y) = - 34

- 17y = - 34 ( divide both sides by - 17 )

y = 2

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

substituting into (2)

x - 2(2) = - 9

x - 4 = - 9 ( add 4 to both sides )

x = - 5

The solution is x = - 5 , y = 2

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