Give three solutions to the equation y = 3 x + 4 y=3x+4. give your solutions as ordered pairs, using reduced fractions or integers for coordinates.

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Mathematics

Damari

28 March, 16:19

Give three solutions to the equation y = 3 x + 4 y=3x+4. give your solutions as ordered pairs, using reduced fractions or integers for coordinates.

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Nathanial · Answer 1

To find solutions to an equation, we can choose any values for x, and then use the equation to find the value of y to make an ordered pair in the form (x, y). First, let's choose x = 1. y = 3 (1) + 4 = 7 The ordered pair is (1,7) Let's choose x = 4. y = 3 (4) + 4 = 16 The ordered pair is (4,16) Let's choose x = 11 y = 3 (11) + 4 = 37 The ordered pair is (11,37) The three solutions we found are: (1,7) (4,16) (11,37) Note that we could choose any values for x that we like. In this case we chose x = 1, x = 4, and x = 11, but any values of x will work fine.