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Bond [772]
3 years ago
13

given a system of equations, list three ways that we can write new equations that can be used to create equivalent systems

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

Given a system of equations, you can

  • rewrite one of the equations and write the sum of two equations instead of the second equation;
  • rewrite one of the equations and write the difference of two equations instead of the second equation;
  • rewrite one of the equations and write the sum of the first equation multiplied by one nonzero number and the second equation multiplied by another nonzero number instead of the second equation.

These actions are called elementary row operations. Elementary operations with system of equations do not change the solution set.

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The sum of two consecutive numbers is -165. Find the value of the smaller number.
Svetllana [295]

Answer:

-83

Step-by-step explanation:

x+(x+1)=number

x+(x+1)=-165

2x+1=-165

-1         -1

2x=-166

/2     /2

x=-83

We can check our work by adding -83+-82=-165 because -83 would be the smaller number.

-83.

7 0
3 years ago
A quality-control center finds that 2 out of 250 toy trains are defective. How many trains would they expect to be defective in
solmaris [256]
Its A. 10,000 divided by 250 is 40. Then multiply 40 by 2 and you get 80

10,000 / 250 = 40 
40 * 2 = 80
80= A.
5 0
3 years ago
Rewrite the equation in ax+by=c form. <br> Y+3=2(x-5)
Deffense [45]
Y+3=2(x-5)

y+3=2x-10

y+3+10=2x

y+13=2x

2x-y=13
6 0
3 years ago
Can someone please help me solve this?
maw [93]
-1, -2, 2.
Those are the zeros
Hope this helps
4 0
3 years ago
Draw a line plot to correctly display the data 4,5,6,9,13,14,14,14,15 mean= median= mode= range=
ziro4ka [17]
Mean=10.4 since you add all the numbers which gives you 94 and divide by how many they are and that is 9
median=13 (middle number)
mode=14 constant seen number
range= 11 because 15 minus 4 is 11 (difference between your lowest and highest value
a line plot is another word for dot plot so just use 1 -20 and arrange the number
hope this helps
5 0
4 years ago
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