Question

How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?

Two
Zero
One
Infinitely many

Answer 1

it has One solution and to get it solve the equation for x :
6+1+3=4x-3x
x=10

Answer 2

The number of solutions of the equation is:

One.

Explanation:

We are asked to find the number of solutions of the equation:

3x+6= -1-3+4x

(

We know that a expression has a unique or one solution if it gives a single value of x after solving the expression.

and we obtain a no solution when the equation gives a false result i.e. the left and right hand side of equality are different.

and infinite many solution if the left and right hand side of equality is same but we can't get a fix value of x )

Now on solving the expression we have:

3x+6= -4+4x

i.e. 4x-3x=6+4

i.e. x=10

Hence, we get a unique value of x.

Hence, the equation has one solution.