Question

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

A.x = -1/2
B.x = -2
C.x = 1/2
D.x = 2

Answer 1

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

Given :

• 
  `\sf {4x-6=10x-3}`

To Find :

• What is the solution of the equation:

`\sf{(a.)\:x=\frac {-1}{2}}`

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

`\sf{(c.)\:x=\frac {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 { (- 3)/(6) = x}} \\ \\ \sf{: \implies {(- 1)/(2) = x}} \\ \\ : \implies {\boxed{ \sf{x =(- 1)/(2)}}}`

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

`\rule {307}{2}`