Mathematics, 13.01.2020 23:31 jhenifelix

How to solve this system by substitution: -4x-2y=-14 and 2x+y=7

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Answer from: Lamr

  Yay! I'm so glad that this system of linear equations has to be solved by substitution because it is my favorite way to solve these kinds of problems. I will explain how to do this problem step by step, just like I learned in 8th grade. I hope this makes sense to you :)

Step 1:  Solve for either x or y in one of the two equations.

  -4x - 2y = -14
+ 4x + 4x

-2y = 4x - 14

-2 -2 -2

y = 2x + 7

Step 2: Plug in the solution you got for x or y into the equation you have not worked with yet. (2x + y = 7)

2x + 2x + 7 = 7 ⇒ 4x + 7 = 7
- 7 - 7

4x = 0

4 4

x = 0

Step 3: Plug in the solution you got in step 2 into either of the 2 equations.

2(0) + y = 7 ⇒ 0 + y = 7
- 0 - 0

y = 7

The final solution to a systems of linear equations is written in a coordinate pair. (x,y)

In your case, the final answer would be (0, 7).

Answer from: Quest

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

Identify the transformation that maps the figure with center (7, 1) onto itself. a) rotate 180° cloc

Answer from: Quest

i think u have 12 apples sorry again i don't really know if it correct i'm just tryna hrlp people out.

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How to solve this system by substitution: -4x-2y=-14 and 2x+y=7...

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