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emmasim [6.3K]
3 years ago
12

Solve by using substitution. State the solution as an ordered pair. 5x-y=1 -10x+2y=-2

Mathematics
1 answer:
Anni [7]3 years ago
6 0

Answer:

The solution to the system of equations is x=1/5 y= 0

Step-by-step explanation:

solving this system of equation using substitution method  

 5x-y=1 …..   equation (1)    

 -10x + 2y =-2   ….. equation (2)  

Solving for value of x from equation 2  

-10x =-2-2y    

so x= -2-2y/-10 =  - 2(1+y)/-10=

so x = 1+y/5......... equation 3

The second equation is solved for x, so we can substitute the expression 1+y/5 in for x in the first equation (1)

-10(1+y)/5+2y=-2

-2(1+y) + 2y = -2

-2-2y= -2

-2y= -2+2

y=0

Putting value of y in equation 3

x = 1+y/5.

x= 1+ 0/5 = 1/5

The solution to the system of equations is x=1/5 y= 0  

We can check our work by plugging these numbers back into the original equations. Let's try  5x-y=1       

 5(1/5)-0=1      

1 -0= 1

1=1

Yes, our solution checks out.

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ivanzaharov [21]

Answer:

The middle number of the data set or average of the two middle numbers in even numbered sets.

Step-by-step explanation:

A median is the middle point of a data set. We order the numbers from least to greatest and find the number directly in the middle of the list. If there are an even number in the set, then we take an average of the middle two.

The data sets are not separated. However, in the sets you have order them least to greatest each. Then count in from both sides to the middle. That number is the middle.

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3 years ago
At the state fair 4 employees were paid $8.20 an hour to work at a corn-dog stand. They worked for 10 hours at regular pay and t
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Answer:

<u>The four employees earned $ 452.80 in total</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Hour rate = $ 8.20

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2. How much money did they earn in total?

Let's find out the individual pay for an employee and then we'll calculate the pay for the 4 employees:

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Individual pay = $ 113.20

Total pay = Individual pay * 4

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1. $9.00
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Step-by-step explanation:

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