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stealth61 [152]
3 years ago
5

Solve the system using the addition method. State your solution as an ordered pair.

Mathematics
1 answer:
vladimir1956 [14]3 years ago
6 0

Solution as ordered pair is:

(5,\frac{41}{2})

Step-by-step explanation:

Solving the system of equations:

3x+2y=56\,\,\,(1)\\9x-2y=4\,\,\,(2)

Adding equation(1) and equation(2)

3x+2y=56\\9x-2y=4\\--------\\12x=60\\x=\frac{60}{12}\\x=5

Putting value of x i.e x=5 in equation(1)

3x+2y=56\\3(5)+2y=56\\ 15+2y=56\\2y=56-15\\2y=41\\y=\frac{41}{2}\\y=\frac{41}{2}

So, value of x=5 and y=\frac{41}{2}

Solution as ordered pair is:

(5,\frac{41}{2})

Keywords:System of Equations

Learn more about System of Equations at:

  • brainly.com/question/6075514
  • brainly.com/question/7490805
  • brainly.com/question/13168205

#learnwithBrainly

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Step-by-step explanation:

divide 60 by 3 cause 3 quarters of an hour is 3/4 then you wanna take half an hour and add that (30 mins) getting 50 minutes

8 0
3 years ago
Which point is in the solution set of the given system of inequalities 3x+y>-3,x+2y<4
Dima020 [189]
Step 1. Solve both inequalities for y:
3x+y\ \textgreater \ -3
y\ \textgreater \ -3x-3

x+2y\ \textless \ 4
2y\ \textless \ -x+4
y\ \textless \ - \frac{1}{2} x+2

Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines -3x-3 and - \frac{1}{2} x+2:

y=-3x-3 (1)
y=- \frac{1}{2} x+2 (2)

Replace (1) in (2):
-3x-3=- \frac{1}{2} x+2
Solve for x:
\frac{5}{2} x=-5
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Replace (3) in (1):
y=-3x-3
y=-3(-2)-3
y=6-3
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We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.

4 0
3 years ago
Read 2 more answers
Jamie opened a savings account with $1000. Each month, she will add $35 to the account. Let y represent the amount of money in t
ra1l [238]

Answer:

The answer is c: y = 35x + 1000

Step-by-step explanation:

Jamie starts off with 1000 which means that no matter how much more money she adds to the account she still has to add the 100 she already has. Then she is adding $35 per month so it would be positive 35 so the correct equation is

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An object of mass weighing 5.24 kilograms is raised to a height of 1.63 meters. What is the potential energy of the object at th
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<span>Find force,
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Find work,
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</span>
Example:
To solve this given word problem we can first identify the given and the apt formula to use in this phenomenon: Given: Force = 4, 500 N = 4, 500 kg-m/s^2 Acceleration = 5 m/s^2   </span>
<span>Formula: f=ma </span>
<span>Derivation: m = f/a </span>
<span>Solution: </span><span><span>
1.    </span>M = f/a</span> <span><span>
2.    </span>M = 4,500 kg-m/s^2 / 5 m/s^2</span> <span><span>
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<span>Hence, the object’s mass is </span>900 kg.<span>
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Answer:

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Step-by-step explanation:

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