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marishachu [46]
3 years ago
10

1. Is the following pair of linear equations consistent? Justify your answer.

Mathematics
2 answers:
qaws [65]3 years ago
5 0
<h3>Answer:</h3>

<u>Given equation</u>:– 2ax + by = a, 4ax + 2by - 2a = 0

a1 = 2a; b1 = b; c1 = - a & a2 = 4a; b2 = 2b; c2 = - 2a.

<u>For consistence, a1/a2 = b1/b2 = c1/c2 must be equal</u>

  • 2a/4a = b/2b = -a/-2a
  • 1/2 = 1/2 = 1/2

<u>So, The given equation is consistence</u>.

atroni [7]3 years ago
3 0

Yes.

<h3>Justification:</h3>

Here,

  • a1/a2 = 2a/4a = 1/2,
  • b1/b2 = b/2b = 1/2,
  • c1/c2 = - a/- 2a = 1/2.

∵ a1/a2 = b1/b2 = c1/c2

∴ <u>The given system of equations is consistent</u>.

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ME AYUDAN PORAVOR 1. Relaciona cada ecuación con su solución.
barxatty [35]

Answer:

a. 5 + x = -5 (Subtraction) 0.

b. -17 + x = 0 (Addition) 17.

c. 30 + x = 0 (Subtraction) -30.

d. x + (-27) = 0 (Addition) 27.

e. x + (-30) = 0 (Addition) 30.

Step-by-step explanation:

In this exercise, students are required to match each equation with its solution. (The corresponding operations must be presented at the end of this point

a. 5 + x = -5 (Subtraction) 0.

x = -5 - 5

x = 0

b. -17 + x = 0 (Addition) 17.

x = 0 + 17

x = 17

c. 30 + x = 0 (Subtraction) -30.

x = 0 - 30

x = -30

d. x + (-27) = 0 (Addition) 27.

x - 27 = 0

x = 0 + 27

x = 27

e. x + (-30) = 0 (Addition) 30.

x - 30 = 0

x = 0 + 30

x = 30

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3 years ago
Consider the trianglular region with vertices (0,0) (6,0) and (0,6). find the x and y coordinates of the centroid
kondor19780726 [428]
Let A=(0,0)(x₁,x₂), B=(6,0)(x₂,y₂) and C=(0,6)(x₃,y₃)

Centroid of ΔABC is given by,

G(x,y) = [x₁+x₂+x₃/3 , y₁+y₂+y₃/3] = [0+6+0/3 , 0+0+6/3] = [2,2]
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3 years ago
Please help!! It's due in an hour!!
Agata [3.3K]

Answer: 2 feet below normal

6 0
3 years ago
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Unit rate feet per second 180 miles over 2 hours
Tatiana [17]
So that is equal to 180 miles per 2 hours which is 90 miles per hour if each hour has the same m/hr rate.
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2x=180
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3 years ago
A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price.The customer was charged a 7%
Tems11 [23]

Answer:

The customer's total cost for the DVD is $19.26

Step-by-step explanation:

Store buy the dvd for $12.00.

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Final price (tax added)= $18.00 + 7%

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