Solve -7/9T=-28/36

$$\frac { - 7 } { 9 } T = \frac { - 28 } { 36 }$$

Solve for T

$$T=1$$

Steps for Solving Linear Equation

Fraction \frac{-7}{9} can be rewritten as -\frac{7}{9} by extracting the negative sign.

$$-\frac{7}{9}T=\frac{-28}{36}$$

Reduce the fraction \frac{-28}{36} to lowest terms by extracting and canceling out 4.

$$-\frac{7}{9}T=-\frac{7}{9}$$

Multiply both sides by -\frac{9}{7}, the reciprocal of -\frac{7}{9}.

$$T=-\frac{7}{9}\left(-\frac{9}{7}\right)$$

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

$$T=\frac{-7\left(-9\right)}{9\times 7}$$

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

$$T=\frac{63}{63}$$

Divide 63 by 63 to get 1.

$$T=1$$