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Likurg_2 [28]
2 years ago
7

Examine the system of equations. y = 3 2 x − 6, y = −9 2 x + 21 Use substitution to solve the system of equations. What is the v

alue of y? y =
Mathematics
2 answers:
lubasha [3.4K]2 years ago
6 0

Answer:

3/4

Step-by-step explanation:

i just took the test

nadezda [96]2 years ago
4 0

Answer:

<h2>y = -4/9</h2>

Step-by-step explanation:

Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;

3/2 x − 6 = −9/2 x + 21,

Cross multiplying;

3(2x+21) = -9(2x-6)

6x+63 = -18x+54

collecting the like terms;

6x+18x = 54-63

24x = -9

x = -9/24

x = -3/8

To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;

y = 3/2x-6

y = 3/{2(-3/8)-6}

y = 3/{(-3/4-6)}

y = 3/{(-3-24)/4}

y = 3/(-27/4)

y = 3 * -4/27

y = -4/9

Hence, the value of y is -4/9

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Answer:

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Step-by-step explanation:

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3 0
2 years ago
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Not sure if this is the answer it wants or not

3 0
3 years ago
the perimeter of a rectangle is 50 inches the length l is twice the width w. what is the area of the rectangle?? ❗️show work❗️
mr Goodwill [35]
Hey. Let me help you on this one.

In order for us to solve this problem, we will need to set up an equation which we can solve later. I will also be attaching an image with the work shown in case you don't understand my explanation. Make sure to read over it since it will help you with your studies.

We know that the length is twice the width, meaning that a=2b, with "a" standing for length, and "b" standing for width. Now that we have formed an equation for length, we can actually form an equation for perimeter.

P=2(2b)+2b

Let's simplify the equation so it's easier and less confusing for us to solve it.

50=6b

Let's divide 6 from both sides, thus eliminating all variables except for b on the right side.

8.3=b

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a=8.3*2
a=16.6

"6" in 16.6 is repeating as well. It's crucial to remember as well. We know the values now, meaning that we can find the area of the rectangle.

S=16.6*8.3
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Answer: Area of the rectangle is 138.8 (with 8 repeating). 



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Answer:

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Step-by-step explanation:

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3 years ago
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