Answer:
The value of x in terms of p is [tex]x=\frac{15}{p}[/tex]. The value of x when p is -5 is -3.
Step-by-step explanation:
The given equation is
[tex]4(px+1)=64[/tex]
We need to find the value of x in terms of p.
Divide both sides by 4.
[tex]\frac{4(px+1)}{4}=\frac{64}{4}[/tex]
[tex]px+1=16[/tex]
Subtract 1 from both sides.
[tex]px+1-1=16-1[/tex]
[tex]px=15[/tex]
Divide both sides by p.
[tex]x=\frac{15}{p}[/tex] .... (1)
The value of x in terms of p is [tex]x=\frac{15}{p}[/tex].
We need to find the value of x when p is -5.
Substitute p=-5 in equation (1).
[tex]x=\frac{15}{-5}[/tex]
[tex]x=-3[/tex]
Therefore the value of x when p is -5 is -3.
