Question

If (p, 6) is a solution of the equation 6x = y + 21, find the value of p.

• A. $\frac{9}{2}$
• B. $\frac{5}{2}$
• C. $\frac{7}{2}$
• D. $\frac{3}{2}$

Answer 1

The correct option is A $\frac{9}{2}$

Given equation is :
$6x=y+21$
Now converting equation into $y=2m+b$ form:
$\Rightarrow y=6x+(-21)$
Now putting values:
$\Rightarrow 6=6p-21$
$\Rightarrow 6p=27$
$\Rightarrow p=\frac{27}{6}$ $=\frac{9}{2}$