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goblinko [34]
2 years ago
7

Systems of equation substitution 2x+4y=24 x=4y

Mathematics
1 answer:
antoniya [11.8K]2 years ago
5 0

Answer:

(x, y) = (8, 2)

Step-by-step explanation:

substitute x = 4y into the other equation

2(4y) + 4y = 24

8y + 4y = 24

12y = 24 ( divide both sides by 12 )

y = 2

substitute y = 2 into x = 4y

x = 4 × 2 = 8

solution is (8, 2 )


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PLEASE HELP ASAP!!!!!
Rashid [163]

mike charges 100 dollars service charge plus 65 dollars per hour.  

amy charges 40 dollars service charge plus 80 dollars per hour.  

the cost to repair from mike is 100 + 65 * x.  

the cost to repair from amy is 40 + 80 * x.  

let x = 3 and you get:  

the cost to repair from mike is 100 + 65 * 3 = 295 dollars.  

the cost to repaid from amy is 40 + 80 * 3 = 280 dollars.  

as long as the time to repair is 3 hours or less, the cost to repair will be cheaper from amy.

4 0
3 years ago
Is (2, 2) a solution of y &lt; 4x - 6?<br> Choose 1 answer<br> yes or no
zalisa [80]

No, (2,2) is not solution of y < 4x - 6

Step-by-step explanation:

To solve above linear problem, we use standard method of  Back- Substitution.

First of all, A point (2,2) only becomes solution of equation, if it satisfies equation y < 4x - 6.

Here, the  y < 4x - 6  seems to be like a linear equation.

In this Equation, using  Back- Substitution method,

Point (2,2) : first digit 2 corresponds to x- coordinate and second digit 2 corresponds to y-coordinate.

           y < 4x - 6.....(1)     \\\         x= 2        .....(2)       \\\       y= 2        .....(3)

By putting value of x and y in equation (1),

Equation becomes,

        2 <  4 \times 2  - 6

       2 < 8       -  6

       2 <  2      .... not true mathematically.

Finally, the result came is not true. Therefore, (2,2) is not solution for equation

y < 4x - 6          

4 0
3 years ago
You have 4 one-dollar bills and 4 five-dollar bills in your piggy bank. You select two bills at random, with replacement. What i
Mkey [24]

The probability that one would have selected 2 five-dollar bills is; 1/4.

<h3>What is the probability you will have selected 2 five-dollar bills?</h3>

It follows from the task content that the piggy bank contains; 4 one-dollar bills and 4 five-dollar bills to make a total of 8 bills.

Hence, provided the probability events are carried out with replacement, the probability to have selected 2 five-dollar bills is;

= 4/8 × 4/8

= 1/4.

Read more on probability;

brainly.com/question/24756209

#SPJ1

5 0
2 years ago
The price of Philip's favorite candy has been reduced by $0.15 per piece. Philip buys 14 pieces and spends $3.22.
kompoz [17]
3.22 divided by 14 is .23.   .23 plus .15 is .38 cents per candy at regular price.
6 0
3 years ago
Read 2 more answers
Write 9− 16x⁴ as the product of two factors.
Marysya12 [62]

Answer:

The two factors will be =(3+4x^2)\ and\ (3-4x^2)        

Step-by-step explanation:

We have given the equation 9-16x^4

We know the algebraic equation a^2-b^2=(a+b)(a-b)

As  9-16x^4 can be written as 3^2-(4x^2)^2, as square of 3 is 9 and square of 4x^2 is 16x^4

So 9-16x^4=3^2-(4x^2)^=(3+4x^2)(3-4x^2)

So the two factors will be =(3+4x^2)\ and\ (3-4x^2)

6 0
3 years ago
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