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CaHeK987 [17]
3 years ago
13

Solve the system by substitution. y = 8x – 6 y = 2x

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
6 0
Since both equations equal to y, that would mean that both equations would equal each other. This means that the equation would turn into 2x = 8x - 6. Once you have this equation, you have to move all the terms that have the pronumeral x to the left. So, you would move 8x to the left. In order to do this, you have to minus 8x on both sides, 2x-8x=8x-8x-6. This is equation will simplify to -6x=-6. To find out what x is equal to, you then need to get rid of the -6 by dividing -6 by both sides. In the end, x should equal to 1. Then you need to find out what y is equal to. Since x=1, you can substitute it into one of the equations. Let’s use the equation y=2x. If you substitute x with 1, y should equal to 2. Now you know what y and x equals to.
motikmotik3 years ago
3 0

Answer:

x = 1

y = 2

Step-by-step explanation:

y =8x - 6  ---------------------------------(I)

y = 2x -------------------------------------(II)

substitute y = 2x in equation (I)

2x = 8x - 6

Add 6 to both sides

2x + 6 = 8x

Subtract 2x from both sides

6 = 8x - 2x

6 = 6x

Divide both sides by 6

6/6 = x

x = 1

Substitute x = 1 in equation (II)

y = 2*1

y = 2

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Which expression is equivalent to (64 y Superscript 100 Baseline) Superscript one-half?
Alex_Xolod [135]

Answer:

8y^{50}

Step-by-step explanation:

This expression is equal :

{(64y^{100})}^{\frac{1}{2}}

Here we can use this rule :

(a^mb^n)^y=a^{my}b^{ny}

Now, 64 we can write like : 8^2

(8^2y^{100})^{\frac{1}{2}}

Now we can use our rule :

8^{2*\frac{1}{2}}y^{100*\frac{1}{2}

When we simplify, we have :

8y^{50}

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4 years ago
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The table shows data collected on the relationship between time spent playing video games and time spent with family. The line o
blsea [12.9K]

Complete question :

The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.36x + 94.5.

Video Games (Minutes) Time with Family (Minutes)

40 80

55 75

70 69

85 64

A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.

B) Is it reasonable to use this line of best fit to make the above prediction?

Answer:

81. 54

4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.

Step-by-step explanation:

Given that :

The equation of best fit is defined as :

ý = -0.36x + 94.5.

A.) Predicted number of minutes spent with family (y) for someone who spends 36 minutes playing games (x) will be :

x = 36

From the model :

ý = -0.36(36) + 94.5

y = - 12.96 + 94.5

y = 81.54

Hence.nunber of minutes spent with family = 81.54 minutes.

B.) The correlation Coefficient for the model is - 0.9993, which indicates a very strong negative relationship between both variables. Hence, using this fact, we can conclude that the prediction is reliable. From the data also, spending 36 minutes playing games means such individual will have more time than someone who plays games for 40 minutes, hence, the prediction is also reasonable.

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3 years ago
M2 L15 #1 Problem Set · ¹/₂ Questions inserted · 7th Grade Mathematics/Algebra · 14 Points
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Answer:

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( On question " e) " simply just change the five to a four making him borrow 75 cents 4 times. )

Step-by-step explanation:

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Paul: 140 + 12x

Jacklyn: 56 + 16x

Where x is how many practice sessions he had this season

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This means what will x be if both equations are equal to each other

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Isolate x in one side by subtracting both sides by 12x

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140 = 56 + 4x

Subtract both sides by 56 to shift the 56 from the right side to the left side

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Divide both sides by 4 to isolate x

84/4 = 4/4x

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Hope it helps :)

Branliest would be appreciated

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