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X-2y= -4 and y= -x + 2 solve the system of equations

1 Answer

3 votes

Answer:

(0, 2 )

Explanation:

Given the 2 equations

x - 2y = - 4 → (1)

y = - x + 2 → (2)

Substitute y = - x + 2 into (1)

x = - 2(- x + 2) = - 4 ← distribute and simplify left side

x + 2x - 4 = - 4

3x - 4 = - 4 ( add 4 to both sides )

3x = 0 ⇒ x = 0

Substitute x = 0 into (2)

y = 0 + 2 = 2

Solution is (0, 2 )

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