Answer:
Hey there!
Let's solve our equation below.
-2(x+3)= -2(x+1)-4
Let's distribute the parentheses.
-2x-6=-2x-2-4
We combine like terms.
-2x-6=-2x-6
We add 6 to both sides.
-2x=-2x
We divide both sides by -2
x=x
If, when solving an equation, you get one number or variable that equals itself, there are infinitely many solutions.
We can plug anything into this equation and it will always equal to same things, since x is just equal to whatever x value you want.
Therefore, there are infinitely many solutions.
I hope this helps!
Answer:
a)5
b)17
c) ?

Step-by-step explanation:
You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.
If the
coefficient is 1, i.e. the equation is written like
, then you can say the following about the coefficients b and c:
is the opposite of the sum of the roots
is the multiplication of the roots.
So, for example, if we want an equation whose roots are 4 and -2, we have:
So, the equation is 
If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:
And so the equation is

In order to have integer coefficients, you can multiply both sides of the equation by 8:

Answer:

Step-by-step explanation:
Given:
The equation of the known line is:

A point on the unknown line is (-4, 4)
Now, since the two lines are parallel, their slopes must be equal.
Now, slope of the known line is the coefficient of 'x' which is
.
Therefore, the slope of the unknown line is also 
Now, for a line with slope 'm' and a point on it
is given as:

Here,
. Therefore,

Hence, the equation of the unknown line is
.