Question

$-5+bx=2x+3(x+2)$
In the equation shown above, $b$ is constant. For what value of $b$ does the equation have no solution?

• A. 3
• B. 4
• C. 5
• D. 6

Answer 1

The correct option is C 5

First we observe that this a linear equation with one vairable. A Linear equation in one variable will have no solutions if the equation reduces to an equation of the form \(px + q\)$=rx+s$
where $p=r$ and $q$ $\ne$ $s$
First, lets rewrite the equation in an equivalent form using the distributive property and combining like terms
$-5+bx=2x+3(x+2)$
$-5+bx=2x+3x+6$
$-5+bx=5x+6$
Since $-5$ $\ne$ 6, the equation will have no solution if $b=5$
Hence, if $b=5$, the equation will have no solution