Question

What should be the value of $b,$ if the value of $29xy+7x-10+6b$ is 18, when $x=2$ and $y=-1$?

• A. 14
• B. 10
• C. 11
• D. 12

Answer 1

The correct option is D 12

Consider the equation $29xy+7x-10+6b=18.$

Substituting $x=2$ and $y=-1$ in the above equation, we get
$29\left(2\right)(-1)+7\left(2\right)-10+6b=18.$
$\Rightarrow -58+14-10+6b=18$
$\Rightarrow -54+6b=18,$
$\Rightarrow 6b=18+54=72$

Dividing both sides of the equation by 6, we get
$b=\frac{72}{6}=12.$