Respuesta :

Answer:

The value of [tex]r=33[/tex] which makes the equation true.

Step-by-step explanation:

Given the equation

[tex]\frac{r}{-11}=-3[/tex]

We have to find the value of r for which the equation must be true.

solving the equation

[tex]\frac{r}{-11}=-3[/tex]

Multiply both sides by -11

[tex]\frac{r\left(-11\right)}{-11}=\left(-3\right)\left(-11\right)[/tex]

[tex]r=33[/tex]

Therefore, the value of [tex]r=33[/tex] which makes the equation true.

VERIFICATION:

Putting [tex]r=33[/tex] in the equation

[tex]\frac{r}{-11}=-3[/tex]

[tex]\frac{33}{-11}=-3[/tex]

[tex]-3=-3[/tex]              ∵ [tex]\frac{33}{-11}=-3[/tex]

L.H.S = R.H.S

Therefore, the value of [tex]r=33[/tex] which makes the equation true.

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