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One number is twice another number and their sum is 36. which system of equations represents the word problem? 2x y = 36 and x y = 36 x y = 36 and y = 2x y = 2x and 2x y = 36

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altavistard
Let the numbers be x and y.  Write out mathematical equations:

y=2x         and             x+y=36

You were not asked to solve this problem, but should do so for practice.  Subst. 2x for y in the 2nd equation:  x + 2x = 36;    3x = 36;     x = 12.  Find y.  Then check your solution.
calculista

Let

y------>one number

x------> another number

we know that

[tex]y=2x[/tex] ------> equation A

[tex]x+y=36[/tex] ------> equation B

substitute equation A in equation B

[tex]x+2x=36[/tex]

[tex]3x=36[/tex]

[tex]x=12[/tex]

Find the value of y

[tex]y=2x[/tex]

[tex]y=2*12=24[/tex]

the numbers are [tex]24[/tex] and [tex]12[/tex]

therefore

the answer is

The system of equations are

[tex]x+y=36[/tex] and [tex]y=2x[/tex]


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