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Leya [2.2K]
3 years ago
15

Use substitution to determine which of the following points is a solution to the standard form equation below 5x-2y=10

Mathematics
2 answers:
lbvjy [14]3 years ago
6 0

Answer with Step-by-step explanation:

We have to determine which of the following points (-1,5), (1,5), (0,-5) and (0,5)

is the solution of 5x-2y=10

i.e. on putting the values of x and y in 5x-2y we must get 10

(-1,5)

5×(-1)-2×5 = -15 ≠ 10

Hence, it is not the solution of 5x-2y=10

(1,5)

5×1-2×5 = -5 ≠ 10

Hence, it is not the solution of 5x-2y=10

(0,-5)

5×0-2×(-5) = 10

Hence, it is the solution of 5x-2y=10

(0,5)

5×0-2×5 = -10 ≠ 10

Hence, it is not the solution of 5x-2y=10

Hence, Solution to the equation is:

(0, -5)

Brut [27]3 years ago
5 0
The right answer to this is (0,-5). If you substitute the points into the equation, it will give the answer 10. 
5x - 2y = 10 \\ let x = 0 \\ let y = -5 \\  \\ 5(0) - 2(-5) =10 \\ 10 = 10

The points (0,-5) satisfy the equation because both sides of the equation is equal to 10.
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The square footage and monthly rental of 10 similar one-bedroom apartments yield the linear regression
Triss [41]

The footage of the room with a rental price of $1500 is 709 square foot

<h3>Linear equation</h3>

A linear equation is given by:

  • y = mx + b

where m is the rate of change, b is the initial value of y, y, x are variables.

Let y represent the monthly rental price and x represent the square footage. Given the equation:

y = 0.7752x + 950.25

For a rent of $1500:

1500 = 0.7752x + 950.25

  • x = 709 square foot.

The footage of the room with a rental price of $1500 is 709 square foot

Find out more on linear equation at: brainly.com/question/13763238

5 0
2 years ago
David wants to pack 574 cereal bars into bags of 10 and bags of 8 the number of bags of 8 is 2 more than the bags of 10. How man
BabaBlast [244]

Answer: Number of bags of 8. = 33

Number of bags of 10. = 31

Step-by-step explanation:

Let x = Number of bags of 8.

y = Number of bags of 10.

As per given.

8x+10y= 574   (i)

x=y+2 (ii)

Put value of x from (ii) in (i)

8(y+2)+10y= 574\\\\\Rightarrow\ 8y+16+10y=574\\\\\Rightarrow\ 18y=574-16\\\\\Rightarrow\ 18y=558\\\\\Rightarrow\ y=\dfrac{558}{18}\\\\\Rightarrow\ y=18

Put this in (i), x= 31+2=33

Hence,

Number of bags of 8. = 33

Number of bags of 10. = 31

6 0
2 years ago
Given two points (2, 7) and (1, -2) on a line, calculate the slope of the line.
Kipish [7]

Answer:

Step-by-step explanation:

Slope of line passing through (2, 7) and (1, -2) = (-2-7)/(1-2) = 9

7 0
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Find the value of x. WILL GIVE BRAINLIEST!!!
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Answer: x = 16

Step-by-step explanation:

24 + 2 + 4x = 90

26 + 4x = 90

4x = 64

x = 16

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3 years ago
Collins is working.......
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Let n represent the amount Colin earned on Sunday.

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Then n/2  +  n  + n/4 = $70

Mult. all terms by 4 to eliminate fractions:

2n + 4n + n = $280

7n = $280  =>  n = $40

Colin earned n/2, or $20, on Saturday; n, or $40, on Sunday; and n/4, or $10, on Friday.

Note that $20 and $40 and $10 add up to $70, as they must.
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