Question 1: Given [tex]1/10p=p-279[/tex] find [tex]p[/tex]
Answer:
[tex]p=310[/tex]
Step-by-step explanation:
1. Subtract [tex]p-279[/tex] from both sides: [tex]279-\frac{9p}{10}=0[/tex]
2. Subtract [tex]279[/tex] from both sides: [tex]\frac{9p}{10}=-279[/tex]
3. Multiply both sides by reciprocal [tex]\frac{10}{9}[/tex]: [tex]p=310[/tex]
Question 2: Given [tex]1/2p=p-155[/tex] find [tex]p[/tex]
Answer:
[tex]p=310[/tex]
Step-by-step explanation:
1. Subtract [tex]p-155[/tex] from both sides: [tex]155-\frac{p}{2}=0[/tex]
2. Subtract [tex]155[/tex] from both sides: [tex]-\frac{p}{2}=-155[/tex]
3. Multiply both sides by reciprocal [tex]\frac{2}{1}[/tex]: [tex]-p=-310[/tex]
4. Multiply both sides by [tex]-1[/tex]: [tex]p = 310[/tex]