Substitute t=3 and t=5 to determine if the two expressions are equivalent. 4(t+3) 4t+12 Which statements are true? Check all that apply. The value of both expressions when t=3 is 32. The two expressions are not equivalent. The value of both expressions when t=5 is 15. The value of both expressions when t=5 is 23. The two expressions are equivalent. The value of both expressions when t=3 is 24.

The correct statements are that, both the equations are equivalent when the value of t is taken 3 and The value of both the equations is 24 when t is taken as 3.

So, the correct options that match the statement above are E and F.

Simplification of expressions.

Taking the value of t as 3 in both the equations, we get,

[tex]4(t+3)\\\\4(3+3)\\\\\\4\ \rm x\ 6=24[/tex]

Now, in the second expression,

[tex]4t+12\\\\4\ \rm x\ 3+12\\\\12+12=24[/tex]

Whereas, when the value of t is taken as 5 the values obtained are as 23 and 32 respectively.

Hence, the correct options are E and F that the equations are of both the values when t is 3 is obtained as 24. And both the expressions are equivalent when t is taken as 3.

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