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3241004551 [841]
3 years ago
5

Use the system of equations. Please show your steps and how you solved it!

Mathematics
1 answer:
Alinara [238K]3 years ago
6 0
1. 3x+3y=15
        -3y = -3y (subtract 3y from both sides)
    3x       = 15-3y 
  ----------------------
     3         =  3   3  (divide each number by 3)
      x        = 5- y

    
You might be interested in
20 POINTS
noname [10]

Answer:

EXAMPLE

Pete bought a shirt on sale for $

18

18, which is one-half the original price. What was the original price of the shirt?

Solution:

Step 1. Read the problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.

In this problem, do you understand what is being discussed? Do you understand every word?

Step 2. Identify what you are looking for. It’s hard to find something if you are not sure what it is! Read the problem again and look for words that tell you what you are looking for!

In this problem, the words “what was the original price of the shirt” tell you what you are looking for: the original price of the shirt.

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅1

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅12p

Simplify.

36

=

p

36=pStep 6. Check the answer in the problem and make sure it makes sense.

We found that

p

=

36

p=36, which means the original price was

$36

$36. Does

$36

$36 make sense in the problem? Yes, because

18

18 is one-half of

36

36, and the shirt was on sale at half the original price.Step 7. Answer the question with a complete sentence.

The problem asked “What was the original price of the shirt?” The answer to the question is: “The original price of the shirt was

$36

$36.”

If this were a homework exercise, our work might look like this:

The top reads,

TRY IT

Step-by-step explanation:

<em>#CarryOnLearning</em>

4 0
2 years ago
Solve y=x^2 + 7 for x
crimeas [40]
Hello! To solve for x means to isolate x:

y = x^2 + 7
y - 7 = x^2
sqrt(y - 7) = x

Answer:
x = sqrt(y - 7)

Hope this helps!
5 0
3 years ago
What is the equation of a line that has a slope of 0 and a y-intercept of 4
finlep [7]

Answer:

y = 4

since you cant have y = 0x + 4, you drop the x and have a straight line (slope of 0) that runs all along the y point of 4.

7 0
3 years ago
Read 2 more answers
Whats 3/5 of 6 hours :/
Colt1911 [192]
Your answer is 3.6 hours
6 0
3 years ago
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater
Sergio039 [100]

Answer:

A.) Function 1 has the larger maximum at (4, 1).

Step-by-step explanation:

No step-by-step explanation, nobody pays attention to them anyway.

3 0
3 years ago
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