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Solve by elimination using subtraction.
2x + y = -5
2x - 5y = 13


Sagot :

Answer:

(- 1, - 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = - 5 → (1)

2x - 5y = 13 → (2)

Subtracting (1) from (2) term by term will eliminate the x-0 term

0 - 5y - y = 13 - (- 5) , that is

- 6y = 18 ( divide both sides by - 6 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting into (1)

2x - 3 = - 5 ( add 3 to both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

solution is (- 1, - 3 )

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