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qwelly [4]
4 years ago
8

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

Mathematics
1 answer:
balandron [24]4 years ago
7 0
Here you have 2 linear equations and are to solve this system.  Both equations have already been solved for y, so you can set one of them = to the other one:

-2x+11 = -3x+21.

Then 3x-2x = 21 - 11, or         x = 10 (answer)

Find y by subst. x = 10 into either of the given equations.

Solution is then (10, ? )
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If you have five red balls and five blue balls in a jar what’s the probability of the first ball being red?
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Answer:

red balls = 5

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total balls = 5 blue+5 red

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p(first \: ball \: being \: red) =  \frac{red \: balls}{total \: balls}

p(first \: ball \: being \: red) =  \frac{5}{10}  =  \frac{1}{2}

8 0
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3 years ago
M is between L and N. LM = 7x-1, MN = 2x +4, and LN = 12. find the value of ‘x’ an determine if M is a bisector.
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How can you use the order of operation to explain why you cannot combine the variable terms before using the distributive proper
bazaltina [42]

Answer:

Step-by-step explanation:

The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.

This standard is critical to simplifying and solving different algebra problems. Without it, two different people may interpret an equation or expression in different ways and come up with different answers. The Order of Operations is shown below.

Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.

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Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.

Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.

Before we begin simplifying problems using the Order of Operations, let's examine how failure to use the Order of Operations can result in a wrong answer to a problem.

Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways

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