translate the sentence into an equation. the sum of 4 times a number and 8 equals 7. use the variable c for the unknown number
1 answer:
You might be interested in
Answer:
The other end point is: s+ti = 3+9i
Step-by-step explanation:
Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the average of the numbers at the endpoints.
It is given by:
Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i
Find the other endpoints.
Let a + bi = -5 -7i and let other endpoint s + ti (i represents imaginary )
Here, a = -5 and b = -7 to find s and t.
then;
[Apply Mid-point formula]
On comparing both sides
we get;
and
To solve for s:
or
-2 = -5+s
Add 5 to both side we have;
-2+5 = -5+s+5
Simplify:
3 = s or
s =3
Now, to solve for t;
2 =-7+t
Add 7 to both sides we get;
2+7 = -7+t+7
Simplify:
9 = t
or
t =9
Therefore, the other end point (s+ti) is, 3+9i
You can always add or subtract same value to/from both sides of equation. The same is true about multiplication and division.
In your case you have to subtract x from both sides of equation in order to get rid of it on the left side:
But it's easier to remember that if you want to move some member of equation to other side, you just have to change it's sign. Let's practice a bit using your equation (I have added "plus" signs where they are usually omitted to better understend what's going on):
Move 2y to the right side:
Move 8 to the left side:
Move both x and 2y to the right side:
In your case you have to subtract x from both sides of equation in order to get rid of it on the left side:
But it's easier to remember that if you want to move some member of equation to other side, you just have to change it's sign. Let's practice a bit using your equation (I have added "plus" signs where they are usually omitted to better understend what's going on):
Move 2y to the right side:
Move 8 to the left side:
Move both x and 2y to the right side: