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Radda [10]
4 years ago
8

Use substitution to solve the system of equations.

Mathematics
1 answer:
kakasveta [241]4 years ago
4 0

Answer:

C (let me know if I am wrong!)

Step-by-step explanation:

We need to solve the equation.

If 5x+y = -24, then -24 - 5x = y.

x+ 3(-24-5x) = -2

= -14x-72=-2

= -14x-72+72=-2+72

= -14x=70

= -5

If x = -5, then -5 + 3y = -2.

3y = -2+5

3y = 3

y=1

So the answer is C.

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A student solved the given equation and justified every step except one. What is the missing reason? A) Associative property of
Anna007 [38]

Given:

The statements and reasons to solve an equation.

To find:

The missing reason.

Solution:

If a, b and c are three real number, then

Associative property of addition : (a+b)+c=a+(b+c)

Commutative property of addition : a+b=b+a

Multiplicative property of equality : a=b\Leftrightarrow ca=cb

Distributive property of multiplication over addition : a(b+c)=ab+ac

In the given step, (x+-3)+3 is written as  x+(-3+3).

It means, only parenthesis are changed, which is possible by Associative property of addition.

So, the missing reason is Associative property of addition.

Therefore, the correct option is A.

3 0
3 years ago
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EleoNora [17]

Answer:

1+ -4

2+ -5

3+ -6

32+ -35

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Step-by-step explanation:

There are infinite solutions. Mainly start with a positive and add a negative that is 3 more greater then the positive.

3 0
2 years ago
Taylor surveys students in one grade level who own at least one pet. She finds that 50% of the students surveyed own 2 pets, 3 s
Llana [10]
First, we need to work out the total number of students who were being surveyed.

We know that half of the students has two pets. The rest of the students make up the other half. So, we have 3 students + 2 students + 8 students = 13 students that make half of the sample population

That means total number of students being surveyed is 13+13=26 students

Then we work out the probability
P(One pet) = 8/26 = 4/13
P(Two pets) = 1/2
P(Three pets) = 3/26
P( Four pets) = 2/26 = 1/13

The probability distribution is shown in the table below. Let x be the number of pets and P(X=x) is the probability of owning the number of pets


3 0
4 years ago
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Allisa [31]

Answer:

B) Range

Step-by-step explanation:

Hope this will help you

8 0
3 years ago
Read 2 more answers
Jade ran 6 times around her neighborhood to complete a total of 1 mile. How many times will she need to run to complete 5/6 of m
svetlana [45]
Set up a proportion where number of times is on top and miles is on bottom:
6/1 = x/(5/6)
Cross-multiply:
6*(5/6) = 1*x
5 = x
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7 0
3 years ago
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