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Nookie1986 [14]
3 years ago
15

When solving this system by elimination, which variable is the most convenient to eliminate,

Mathematics
1 answer:
kobusy [5.1K]3 years ago
4 0

Answer:

Y is the appropriate variable and the most easiest and convenient to eliminate

name 2x + y = 7 as equation i

and 3/2 x - y = 7/2 as equation ii

then add equation i and ii together

(3/2 + 2) x + y - y = (7 + 7/2)

(7/2) x = (21/2)

x = 3

then put in x = 3 in equation i

4 + y = 7

x = 7 - 4

x = 3

Therefore x = 3 and y = 3

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Evaluate the expression on top
katovenus [111]

Apply PEMDAS.

10^2 + (8)^2 - 5

100 + 16 - 5

116 - 5

Answer: 111

3 0
3 years ago
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Place each job in order from highest to lowest by reading each description. Think about other civiliation
anygoal [31]

Answer:

1. Priests and rulers of society.

2. Warriors

3. Merchants

4. Blacksmiths

Step-by-step explanation:

1. They were born into status and religion was a big part of society so priests would be treated well.

2. Warriors were able to work their way up in society and became respectable.

3. These were lower level people right  under warriors and didnt lead a bad life.

4. Rejects and weren't able to have rights

6 0
3 years ago
Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.
Gelneren [198K]
<span>divide both sides of the equation by 2 to get: 

(x + 1/4)^2 = -7/16 ***** this is your solution. 

continue further to solve for x if you care to, but the problem did not require you to do this. 

take the square root of both sides of the equation to get: 

x + 1/4 = plus or minus sqrt(-7/16) 

subtract 1/4 from both sides of the equation to get x = -1/4 plus or minus sqrt(-7/16). 

since sqrt(-7/16) is the same as sqrt(7/16) * i, your solution becomes: 

x = -1/4 plus or minus sqrt(7/16) * i. 

your problem was to convert it to the form of (x + p)2 = q. 

the solution to that is: 

</span><span>(x + 1/4)^2 = -7/16 </span><span>subtract 1 from both sides of the equation to get: 

2x^2 + x = -1 

factor out a 2 on the left side of the equation to get: 

2 * (x^2 + x/2) = -1 

complete the squares on x^2 + x/2 to get: 

2 * ((x+1/4)^2 - (1/16)) = -1 

simplify by distibuting the multiplication to get: 

2 * (x+1/4)^2 - 2*(1/16) = -1 

simplify further to get: 

2 * (x+1/4)^2 - 1/8 = -1 

add 1/8 to both sides of the equation to get: 

2 * (x + 1/4)^2 = -7/8 .



</span>
5 0
4 years ago
Read 2 more answers
A baseball team is hosting a dance as a fundraiser. the cost of 1 individual ticket is $7. the cost of 1 group ticket is $16. th
QveST [7]
<h2>Word Problem</h2>

To form equations from word problems, we can do the following:

  1. Identify variables
  2. Find key information
  3. Identify word equations and translate into numerical equations
  4. Solve

<h2>Solving the Question</h2>

We're given:

  • Let <em>x</em> be the number of individual tickets that were sold
  • Let <em>y</em> be the number of group tickets sold
  • Cost of 1x = 7 dollars
  • Cost of 1y = 16 dollars
  • Baseball team: 36 more x than y
    ⇒ x = 36 + y
  • Fundraiser raised 574 dollars in total
    ⇒ 7x + 16y = 574 dollars

Question: How many individual tickets were sold? (What is the value of <em>x</em>?)

Here are all the equations we have created:

  • x = 36 + y
  • 7x + 16y = 574

We can solve for the value of <em>x</em> using systems of equations.

First, isolate <em>y</em> in the first equation:

x = 36 + y\\y=x-36

Now, plug this into the second equation:

7x + 16y = 574\\7x + 16(x-36)= 574\\7x+ 16x-586= 574\\23x=1150\\\\x=\dfrac{1150}{23}\\\\x=50

Therefore, <em>x</em> is equal to 50.

<h2>Answer</h2>

50 individual tickets were sold.

7 0
3 years ago
Solve the system of equations: y=2x+1. y=x^2+2x-8
viva [34]

Answer:

Step-by-step explanation:

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3 years ago
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