Question

If x=p+1 find the value of p from the equation 1/2(5x-30)-1/3(1+7p)=1/4​

Answer 1

Step-by-step explanation:

x=p+1 (Given)

1/2(5x-30)-1/3(1+7p)=1/4

=>. {5x/2 -(15)} -{1/3+7p/3}= 1/4

=> 5x/3-15-1/3-7p/3=1/4

=> 5(p+1)/3-(15+1/3)-7p/3=1/4

=> 5p+5/3-46/3-7p/3=1/4

=> -{46/3+2p+5)/3}=1/4

=>. -46/3-2p+5/3= 1/4

=>. 2p+5/3 = -46/3-1/4

=> 2p+5= 3(-46/3) -3(1/4)

=> 2p+5 = -46-3/4

=>. 2p= -46-5-3/4

=>. p= 2(-46) -2(5) -2(3/4)

=>. p= -92-10-3/2

=> p= -102-3/2

=> p= -(204-3)/2

=>. p= -201/2

=> p= -100+1/2

Answer 2

Answer:

Given that:

2

1

(5x−30)−

3

1

(1+7p)=

4

1

2

1

(5p+5−30)−

3

1

(1+7p)=

4

1

[Since x=p+1]

6

15p+15−90−2−14p

=

4

1

6

p−77

=

4

1

4p−308=6

4p=314

p=78.5,

Hence, x=79.5.