Question

What is the solution to the equation 4x - 6 = 10x - 3?

Answer 1

$\huge{\boxed{\tt{Solution:-}}}$

Given :

• $\sf {4x-6=10x-3}$

To Find :

• What is the solution of the equation:

$\sf{(a.)\:x=\dfrac {-1}{2}}$

$\sf{(b.)\:x=-2}$

$\sf{(c.)\:x=\dfrac {1}{2}}$

$\sf{(d.)\:x=2}$

Now, we solving it :

$\sf{: \implies {4x - 6 = 10x - 3}} \\ \\ \sf{: \implies { - 6 + 3= 10x - 4x}} \\ \\ \sf{: \implies { - 3= 6x}} \\ \\ \sf{: \implies { \dfrac{- 3}{6} = x}} \\ \\ \sf{: \implies {\dfrac{- 1}{2} = x}} \\ \\ : \implies {\boxed{ \sf{x =\dfrac{- 1}{2}}}}$

$\bf{\therefore{Correct \:solution\:is\:(a.)\:x=\dfrac {-1}{2}.}}$

$\rule {307}{2}$