Chapter 4.4, Problem 40PPS

To determine

To solve and check: the given equation

Answer to Problem 40PPS

The required solution is $t=1$

Explanation of Solution

Given:

  $-\frac{7}{9}t=-\frac{28}{36}$

Calculation:

To solve equation and check the solution

  $-\frac{7}{9}t=-\frac{28}{36}$

Multiply both sides of equation by $\frac{-9}{7}$

  $t=\frac{-28}{36}\left(\frac{-9}{7}\right)$

Resolve into factors and divide out common terms

  $t=\frac{-4\cdot 2\cdot (-9)}{4\cdot 9\cdot 7}$

  $t=1$

Solution: - $t=1$

Check

Substitute $t=1$ in $-\frac{7}{9}t=-\frac{28}{36}$

  $-\frac{7}{9}(1)=-\frac{4\cdot 7}{4\cdot 9}$

  $-\frac{7}{9}=-\frac{7}{9}$

Left hand side = Right hand side

Hence verified. So solution is $t=1$

Conclusion:

Therefore, the required solution is $t=1$