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Fiesta28 [93]
3 years ago
12

How many solutions does this system have? y=5x-1 y=-3x+7

Mathematics
1 answer:
Vesnalui [34]3 years ago
8 0

Answer:

One solution

Step-by-step explanation:

We have the system

y=5x-1\\y=-3x+7

To solve the system, equate both equations and solve for the variable x.

5x-1= -3x+7\\\\5x + 3x = 7 +1\\\\8x = 8\\\\x=1

Now substitute the value of x in any of the two equations and solve for the variable y.

y=5(1)-1

y=4

Finally the system of equations has one solution

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Evacuate the following using suitable identities (102)^3
snow_lady [41]

The value of (102)^3 exists 1061208.

<h3>How to estimate the value of (102)^3?</h3>

Let us rewrite (102)^3 as (100+2)^3

Now utilizing the identity (a+b)^3=a^3+b^3+3ab(a+b), we get

a = 100 and b = 2 then substitute the values of a and b then

(100+2)^3=100^3+2^3+[(3\times100\times2)(100+2)]

= 1000000 + 8 + (600 × 102)

= 1000000 + 8 + 61200

= 1061208

Hence, (102)^3=1061208

Therefore, the value of (102)^3 exists 1061208.

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5 0
2 years ago
Convert each rational number into its decimal form. 1. 1/3 2. 1/6 3. 1/9
stepladder [879]

Answer:

1. 0.33  2. 0.16  3. o.11

Step-by-step explanation:

5 0
3 years ago
Given A(2, 3) B(1, 4) C(1, 3) D(-2, 2). How are AB and CD related?
kondaur [170]

The vector AB is not related with the vector CD as k is not the same for each pair of components.

<h3>Are two vectors similar?</h3>

In this question we must prove if the vector AB is a multiple of the vector CD, that is:

\overrightarrow{AB} = k \cdot \overrightarrow {CD}

\vec B - \vec A = k \cdot [\vec D - \vec C]

(1, 4) - (2, 3) = k · [(- 2, 2) - (1, 3)]

(- 1, 1) = k · (- 3, - 1)

Hence, the vector AB is not related with the vector CD as k is not the same for each pair of components.

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3 0
2 years ago
20 points!! Solve this system of lineal equations.separate the x- and y- values with a comma
Zielflug [23.3K]
Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
Collect results:Answer:  {x = 4 {y = 1


Please note the { are supposed to span over both equations but it interfaces doesn't  allow it. Please see attachment for clarification.

7 0
3 years ago
PLEASE HELP!!!<br><br>Can sometime help me solve this?
damaskus [11]
Hope you understand. tell me if u need help

3 0
3 years ago
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