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! :)
Answer:
22 posts
Step-by-step explanation:
on the side of 20 feet you have 5 fence posts each in including one on each of the corners. On the 35 feet side you would have 8 including the corners, but since the corner posts are done its 6 on each 35 feet side. So you get 5+5+6+6=22
Answer:
D
Step-by-step explanation:
<h3>
Answer: 297 square cm</h3>
=============================================
Work Shown:
Break up the figure as shown in the diagram below.
A rectangle and trapezoid form
-------------
Area of rectangle = base*height = 9*15 = 135 cm^2
Area of trapezoid = (1/2)*(b1+b2)*h = (1/2)*(18+9)*12 = 162 cm^2
total area = (area of rectangle)+(area of trapezoid)
total area = (135) + (162)
total area = 297 square cm
Presenting your problem symbolically:
3
--
7
==== becomes
2
---
4
3
---
7
====
1
---
2
To divide by 1/2, multiply by 2/1:
3 2
-- * ---
7 1
Multiplying, we get 6/7.