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

The number of solutions of the equation is:

                                    One.

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.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

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step-by-step explanation:

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