Solve 9/4=-7/10t

$$\frac { 9 } { 4 } = - \frac { 7 } { 10 } t$$

Solve for t

$$t = -\frac{45}{14} = -3\frac{3}{14} \approx -3.214285714$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{10}{7}, the reciprocal of -\frac{7}{10}.

$$\frac{9}{4}\left(-\frac{10}{7}\right)=t$$

Multiply \frac{9}{4} times -\frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-10\right)}{4\times 7}=t$$

Do the multiplications in the fraction \frac{9\left(-10\right)}{4\times 7}.

$$\frac{-90}{28}=t$$

Reduce the fraction \frac{-90}{28} to lowest terms by extracting and canceling out 2.

$$-\frac{45}{14}=t$$

Swap sides so that all variable terms are on the left hand side.

$$t=-\frac{45}{14}$$