If \( x \) and \( y \) are integers, and [tex]3x + 2y = 13[/tex], which of the following could be the value of \( y \)?

A. 0
B. 1
C. 2
D. 3
E. 4

C. 2 Because 3x+2(2)=13 3x+4=13 3x=9 x=3
None of the other solutions work out so that both x and y are integers.

Answered by HannahN | 2024-06-10

They are all integers so... first lets substitute A.3x=13 X=13/3 b.3x+2=13 3x=11 x=11/3 c.3x+4=13 3x=9 x=3 d.3x+6=13 3x=7 x=7/3
E.3x+8=13 3x=5 x=5/3
therefore the possible is letter c because it must be an integer and the definition of integer states that it is not a decimal nor a fraction

Answered by deathstrike001 | 2024-06-24

After analyzing the equation 3 x + 2 y = 13 , we find that the corresponding integer value for y , given integer values of x , is 2 . Among the provided options, the only correct choice that satisfies the equation is C. 2.
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Answered by deathstrike001 | 2025-01-13