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LenKa [72]
4 years ago
15

For the following questions, use the system of equations. 3x + 2y = 14, 2x - 4y = 4. A. Solve the system of equations using eith

er the substitution method or the multiplication/addition method? B. Check your solution by writing the system as a matrix equation and using the inverse matrix.
Mathematics
1 answer:
Irina18 [472]4 years ago
8 0

Answer:

not the matrix equation but this works

x=4, y=1

Step-by-step explanation:

2x-4y=4             (original equation)

2(3x+2y=14)       (do this so that you can subtract or add- it's still equal)

2x-4y=4             (original equation)

6x+4y=28          (after multiplying)

8x=32                (add 2 equations together to cancel out 4y, can also subtract)

x=4                     (division)

2(4)-4y=4           (substitution)

8-4y=4               (multiplication)

4y=4                  (addition/subtraction)

y=1                     (division)

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-4x-15y=-17<br>-x+5y=-13<br><img src="https://tex.z-dn.net/?f=%20-%204x%20-%2015y%20%3D%20%20-%2017%20%20%5C%5C%20%20-%20x%20%2B
salantis [7]
To solve this system of linear equations we need a little trick called elimination steps are below

we are given the following system of equations
- 4x - 15y = - 17
- x + 5y = - 13
if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so
- 4x - 15y = - 17
- 4( - x + 5y = - 13)
simplify and we get
- 4x - 15y = - 17
4x - 20y = 52
now we can combine like terms on each side with the x's cancelling and get

- 35y = 35
now divide off -35
y = - 1
great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

- x + 5y = 13
so now we substitute y and get
- x + 5( - 1) = 13
- x - 5 = 13
- x = 17
x = - 17

now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)
6 0
3 years ago
Convert 5.1 to a percentage
krok68 [10]
5.1=510\%
5 0
3 years ago
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A local convenience store is having a sale on paper towels. At noon, the store has sold 12 packs of toilet paper. At 3:00 pm, th
yanalaym [24]

Answer:  15 packs per hour

======================================================

Work Shown:

y = change in number of packs sold

y = 57 - 12

y = 45 packs

x = change in time (in hours)

x = 3 hours

m = slope = rate of change

m = y/x

m = 45/3

m = 15

The store sold 15 packs per hour during the timespan of noon to 3:00 pm.

4 0
3 years ago
(4x^2+1)+(4x^2+x+2) what’s the sum ?
pochemuha

Answer:

(4 {x}^{2}  + 1) + (4 {x}^{2}  + x + 2) \\ 4 {x}^{2}  + 1 + 4 {x}^{2}  + x + 2 \\  = 8 {x}^{2}  + x + 3

4 0
3 years ago
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These triangles are similar.<br> True<br> Or<br> False
iren2701 [21]

Answer:

<u><em>True</em></u> because they both are triangles, they both have tree side but one is just smaller than the other.

3 0
4 years ago
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