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WINSTONCH [101]
3 years ago
8

Solve the system by substitution. y = x + 35 Y = 8x

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

(5, 40)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = x + 35

y = 8x

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                8x = x + 35
  2. [Subtraction Property of Equality] Subtract <em>x</em> on both sides:                      7x = 35
  3. [Division Property of Equality] Divide 7 on both sides:                                 x = 5

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               y = 8(5)
  2. Multiply:                                                                                                            y = 40
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5. At a classroom costume party,
Alenkasestr [34]

The required simplified value of b + g is 21.


Given that,

At a classroom costume party, the average age of the b-boys is g, and the average age of the g girls is b.
The average age of everyone at the party (all these boys and girls, plus their 42- year-old teacher) is b+g,

<h3>What is average?</h3>

The average of the values is the ratio of the total sum of values to the number of values.

Here,

The average age of the b-boys is g.
The average age of the g-girls is b.
The average age of everyone at the party (all these boys and girls, plus their 42-year-old teacher) is b+g,

Now,
average of  n = 3 (b , g , b+g)
Average =  g + b + 42 / 3
b + g = (b + g + 42 ) / 3
3b + 3g = b + g +  42
3b - b + 3g - g = 42
2b + 2g = 42
2 (b + g) = 42
b + g = 21

Thus, the required simplified value of b + g is 21.

Learn more about average here:

brainly.com/question/24057012

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6 0
2 years ago
Read 2 more answers
Bryce made a scale drawing of a shopping center. The scale of the drawing was
Zinaida [17]

Answer:

I'm pretty sure the answer is 40.

Step-by-step explanation:

1:4 meaning

1-10 inches

10 x 4 equals 40ft.

Because of the scale being 1:4 .

4 0
3 years ago
PLEASE HELP! will mark brainliest!!
lakkis [162]

Answer:

your answer will be 11 for that question

8 0
3 years ago
Help if you can PLease
cricket20 [7]

Answer:

x = 2

Step-by-step explanation:

all the angles in a triangle that are added together will equal 180 degrees

so having known that you will get this equation: \/

                                                                      2x+5+8x=25

                                                                      then you solve

8x+2x+5=25

10x+5=25

10x=20

x=2

4 0
3 years ago
In deciding upon the appropriate premium to charge, insurance companies sometimes use the exponential principle, defined as foll
adoni [48]

Answer:

Step-by-step explanation:

The application of probability distribution function is employed in solving the question. The detailed analysis and step by step approach is as shown in the attached file.

7 0
3 years ago
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