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3 years ago

Is (5,0) as an ordered pair a solution to 5x-4y>20? Please explain. Thanks!

Mathematics

1 answer:

aleksley [76]3 years ago

6 0

Answer:

The ordered pair is a solution

Step-by-step explanation:

5x - 4y > 20

Our point is (5,0) in the format of (x, y)

This makes 5 equal to "x", and 0 equal to "y"

Now you plug it in

5(5) - 4(0) > 20

Now multiply/simplify

25 - 0 > 20

25 > 20

This statement is true, meaning the ordered pair is a solution to the equation.

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$\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}$

Hence the numbers are 4 and -3

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