Given:
The system of equations is:
Line A: 
Line B: 
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Equating (i) and (ii), we get



Divide both sides by 2.

Substituting
in (i), we get
The solution of system of equations is (-4,-8).
Now verify the solution by substituting
in the given equations.


This statement is true.
Similarly,



This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
Answer:
you need to simplify them like 2n+6 simplifird if 2.(n+3)
Step-by-step explanation:
Answer:
(-11, -6)
Step-by-step explanation:
Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.
-3 - 5 = -8 (distance between x coordinates)
-1 - 4 = -5 (distance between y coordinates)
Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.
-3 - 8 = -11
-1 - 5 = -6
So, the point (x, y) is (-11, -6)
From the two triangle, we can see that triangle ADE is a dilation of triangle ABC by a scale factor of 2.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
From the diagram:
AB = 3 units, AC = 4 units. Using Pythagoras theorem:
BC² = 3² + 4²
BC = 5 units
AE = 6 units, AD = 8 units. Using Pythagoras theorem:
DE² = 6² + 8²
DE = 10 units
From the two triangle, we can see that triangle ADE is a dilation of triangle ABC by a scale factor of 2.
Find out more on equation at: brainly.com/question/2972832
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Answer:
x = -3
Step-by-step explanation:
The vertex lies on the axis of symmetry, whose x-coordinate is halfway between -9 and 3: x = -3