4(px+1) = 64 .... Distributive property
4px+4= 64 ...... Subtract 4
4px = 60 ...... Divide by 4
px = 15 ...... divide by p
x= 15/p ........ substitute p with -5
x = 15/-5 ....... Divide
x = -3 ......... Final answer
Answer:
Consider the equation:
[tex]4(px+1)=64[/tex] ...... (1)
Find the value of x in terms of p.
The distributive says that:
[tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
Apply the distributive property in equation (1):
[tex]4px+4=64[/tex]
Subtract 4 from both sides we have;
[tex]4px=60[/tex]
Divide both sides by 4p we have;
[tex]x = \frac{60}{4p}[/tex]
Simplify:
[tex]x = \frac{15}{p}[/tex] ...... (2)
Now, find the value of x when p = -5.
Substitute p = -5 in equation (2):
[tex]x = \frac{15}{-5}[/tex]
Simplify:
x = -3
Therefore, the value of x in terms of p is, [tex]x = \frac{15}{p}[/tex] and the value of x = -3 when p -5
