Question

which equation is true when X = - 15A, 3x-11=-34B, (x/3) + 17 = 12C, (x/5) +2.5 = 0.5D, -53 + 4x = 7

Answer 1

We have to replace x with the value -15 and see if the equality stands or not.

A. FALSE

$\begin{gathered} 3x-11=-34 \\ 3\cdot(-15)-11=-34 \\ -45-11=-34 \\ -56\ne-34 \end{gathered}$

B. TRUE

$\begin{gathered} (\frac{x}{3})+17=12 \\ -\frac{15}{3}+17=12 \\ -5+17=12 \\ 12=12 \end{gathered}$

C. FALSE

$\begin{gathered} \mleft(x/5\mright)+2.5=0.5 \\ \mleft(-15/5\mright)+2.5=0.5 \\ -3+2.5=0.5 \\ -0.5\ne0.5 \end{gathered}$

D. FALSE

$\begin{gathered} -53+4x=7 \\ -53+4(-15)=7 \\ -53-60=7 \\ -113\ne7 \end{gathered}$

The answer is Option B.