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salantis [7]
2 years ago
14

3x = -y + 12 2x + 3y = -6

Mathematics
1 answer:
tangare [24]2 years ago
3 0

Answer:

3x=-y+12

2x+3y=-6

collecting the like terms we have

3x+y=12

2x+3y=-6

to solve this simultaneous equation, we use substitution method

we make y the subject in equation one:

y=12-3x

then we put y=12-3x into 2x-3y=-6 in equation two

2x+3(12-3x)=-6

2x+36-9x=-6

-7x+36=-6

-7x=-6-36

-7x=-42

x=-42÷-7

x=6

then we put x=6 in y=12-3x:

y=12-3x

y=12-3(6)

y=12-18

y=-6

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36*2=72, and 2*36=72.

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4 0
3 years ago
Are 5(2x-y) and 15x-5y equivalent expressions?
krek1111 [17]

No, they are not equivalent.

5(2x - y) = 10x - 5y and it is not equal to 15x - 5y.

(using distribution property)

6 0
3 years ago
(4x^2-2x-4)(2x+4) what is<br> the product of the polynomials below?
tatiyna

Answer:

8x³ + 12x² - 16x - 16

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distributive Property

Step-by-step explanation:

<u>Step 1: Define expression</u>

(4x² - 2x - 4)(2x + 4)

<u>Step 2: Simplify</u>

  1. Expand:                                       8x³ - 4x² - 8x + 16x² - 8x - 16
  2. Combine like terms (x²):             8x³ + 12x² - 8x - 8x - 16
  3. Combine like terms (x):              8x³ + 12x² - 16x - 16
7 0
3 years ago
What is the length of side BD?
VashaNatasha [74]

Answer:  26.1

<u>Step-by-step explanation:</u>

cos\theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos(40^o)=\dfrac{20}{BD}\\\\\\BD=\dfrac{20}{cos(40^o)}\\\\\\BD=26.1

4 0
3 years ago
Read 2 more answers
Line E'F' has endpoints located at E'(1,0) and F'(1,3). Line EF was dilated by a scale of 1/2 from the orgin. Which statement de
Lerok [7]

Answer:

If line EF was dilated by a scale of 1/2 from the origin to get line E'F', then if line E'F' is dilated by a scale of 2 from the origin, EF is obtained. Also, the length of EF is double than the length of E'F'.

Dilation by a scale of 2 from the origin transforms point (x,y) into (2*x, 2*y)

E'(1,0) -> E(2,0)

F'(1, 3) ->F(2, 6)

length of E'F': 3

length of EF: 6

6 0
3 years ago
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