Which ordered pairs in the form (x, y) are solutions to the equation4x−5y=24Select each correct answer.(6, 0)(4, 8)(−9, −12)(1, −4)
Question
Answer:
Remember that a solution to an equation is a coordinate pair that makes a true statement.So, for each of these coordinate pairs, plug in the x coordinate for the x in your equation and the y coordinate for the y in your equation.
Example:
5x + 3y = 8;
which of these is a solution?
(1,1)
(-3, 2)
For each coordinate pair provided, I'm going to plug it back into my original equation:
SO: for (1,1)
5x + 3y = 8
5(1) + 3(1) = 8
5 + 3 = 8
8 = 8 <--- This is a true statement. (1,1) IS a solution to this equation.
For (-3,2)
5x + 3y = 8
5(-3) + 3(2) = 8
-15 + 6 = 8
-9 = 8 <---- This is NOT a true statement. (-3,2) is not a solution to this equation.
You have to do the same thing!! Plug each of your answer choices into your original equation. Solve it out. If you end up with a TRUE statement, the coordinate pair IS a solution. If you end up with a FALSE statement, the coordinate pair is NOT a solution!
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11 months ago
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