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One number is 3 less than twice another. If their sum is 39, find the numbers.
Which of the following systems of equations represents the word problem?
A.y = 2x - 3 and y = x + 39
B.y = 2x - 3 and x + y = 39
C.y = 2(x - 3) and x + y = 39 ...?

Answer :

johnkellock
B.y = 2x - 3 and x + y = 39
calculista

Let

y------> one number

x-----> another number

we know that

[tex]y=2x-3[/tex] ------> equation A

[tex]x+y=39[/tex] ------> equation B

substitute equation A in equation B

[tex]x+[2x-3]=39[/tex]

[tex]3x=39+3[/tex]

[tex]x=42/3=14[/tex]

Find the value of y

[tex]y=2*14-3=25[/tex]

the numbers are [tex]25[/tex] and [tex]14[/tex]

therefore

the answer is the option B

[tex]y=2x-3[/tex] and [tex]x+y=39[/tex]

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