Use the properties of equality to solve the equations and match with a correct solution.
-$t = - \frac { 1 } { 21 }$
A) $- 5 t = \frac { 1 } { 10 }$
B) $- 3 t = \frac { 1 } { 7 }$

Question

Use the properties of equality to solve the equations and match with a correct solution.
-$t = - \frac { 1 } { 21 }$ 
A) $- 5 t = \frac { 1 } { 10 }$ 
B) $- 3 t = \frac { 1 } { 7 }$

Quizplus · Accepted Answer

To solve for t, we can multiply both sides of the equation by -3/7:

$$-\frac{3}{7}(t) = -\frac{3}{7} \cdot \left(-\frac{1}{21}\right) = \frac{1}{7\cdot 3} = \frac{1}{21}$$

Thus, we have -3t = 1/7 and the correct solution is B. Choice A is incorrect because it involves multiplying by -5/2, which is not a factor of 21.

Use the Properties of Equality to Solve the Equations and Match