Solve 1/4p=5/4(-1,6)+9

$$\frac { 1 } { 4 } p = \frac { 5 } { 4 } ( - 1,6 ) + 9$$

Solve for p

$$p=28$$

Steps for Solving Linear Equation

Convert decimal number -1,6 to fraction -\frac{16}{10}. Reduce the fraction -\frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}p=\frac{5}{4}\left(-\frac{8}{5}\right)+9$$

Multiply \frac{5}{4} times -\frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{4}p=\frac{5\left(-8\right)}{4\times 5}+9$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{4}p=\frac{-8}{4}+9$$

Divide -8 by 4 to get -2.

$$\frac{1}{4}p=-2+9$$

Add -2 and 9 to get 7.

$$\frac{1}{4}p=7$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$p=7\times 4$$

Multiply 7 and 4 to get 28.

$$p=28$$