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Which ordered pairs are solutions for y = 3x – 5? Choose all that apply. A) (0, -5) B) (1, -2) C) (5, 20) D) (-2, -11) E) (3, 0)

Question

Which ordered pairs are solutions for y = 3x – 5? Choose all that apply.

A) (0, -5)
B) (1, -2)
C) (5, 20)
D) (-2, -11)
E) (3, 0)

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Solution

To find out which ordered pairs are solutions for the equation y = 3x - 5, we need to substitute the x and y values of each pair into the equation and see if both sides of the equation are equal.

A) For the pair (0, -5), if we substitute x = 0 and y = -5 into the equation, we get -5 = 3*0 - 5, which simplifies to -5 = -5. Since both sides of the equation are equal, the pair (0, -5) is a solution.

B) For the pair (1, -2), if we substitute x = 1 and y = -2 into the equation, we get -2 = 3*1 - 5, which simplifies to -2 = -2. Since both sides of the equation are equal, the pair (1, -2) is a solution.

C) For the pair (5, 20), if we substitute x = 5 and y = 20 into the equation, we get 20 = 3*5 - 5, which simplifies to 20 = 10. Since both sides of the equation are not equal, the pair (5, 20) is not a solution.

D) For the pair (-2, -11), if we substitute x = -2 and y = -11 into the equation, we get -11 = 3*(-2) - 5, which simplifies to -11 = -11. Since both sides of the equation are equal, the pair (-2, -11) is a solution.

E) For the pair (3, 0), if we substitute x = 3 and y = 0 into the equation, we get 0 = 3*3 - 5, which simplifies to 0 = 4. Since both sides of the equation are not equal, the pair (3, 0) is not a solution.

So, the ordered pairs that are solutions for y = 3x - 5 are A) (0, -5), B) (1, -2), and D) (-2, -11).

This problem has been solved

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