Hi there!
In order to use the elimination method, you have to create one variable that has the same coefficient. This is to be able to eliminate one variable and have a one variable equation (which you can then solve).
In your case, we'll have the "x" have the same coefficient by multiplying the top equation by 4 and the bottom equation by 2 :
4( -2x + 3y = -4) → -8x + 12y = -16
2( 4x - 2y = 16) → 8x - 4y = 32
Now that both of your equation have a variable with the same coefficient, you need to choose rather you need to add or subtract the equations in order to get rid of the variable (in this case we want to get rid of the "x").
In your case, you want to add both equation together which will give you :
8y = 16
Now that you only have one variable, all you need to do now is solve the equation for "y" :
8y = 16
Divide each side of the equation by 8
y = 2 → Your answer
There you go! I really hope this helped, if there's anything just let me know! :)
<u>ANSWER</u>: The centroid is (1,3)
<u>Explanation:</u>
The centroid is the intersection of the medians of the triangle.
So we need to find the equation of any two of the medians and solve simultaneously.
Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.
We find the midpoint of AC using the formula;




The equation of the median passes through
and
.
This line is parallel to the y-axis hence has equation
-------first median.
We also find the midpoint M of BC.



The slope of the median, AM is



The equation of the median AM is given by;

We use the point M and the slope of AM.



-------Second median
We now solve the equation of the two medians simultaneously by putting
in to the equation of the second median.




Hence the centroid has coordinates 
Step-by-step explanation:
x2 + 7x + 12
x2 + 4x + 3x + 12
x(x + 4) + 3( x + 4)
(x + 3) and (x + 4) are the factors
4x2 + 6x + 2
4x2 + 4x + 2x + 2
4x (x + 1) + 2(x + 1)
(x + 1) and (4x + 2) are the factors
Q:3
Ans: 10.12 x 10 power -5
Q:4
Ans: 5/8
Q:5
Ans: - x cube and + x square