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3 years ago

Solve the system.

Mathematics

1 answer:

svetoff [14.1K]3 years ago

8 0

Answer:

(0, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y + 5x = 1

5y - x = 5

Step 2: Rewrite Systems

y + 5x = 1

Subtract 5x on both sides: y = 1 - 5x

Step 3: Redefine Systems

y = 1 - 5x

5y - x = 5

Step 4: Solve for x

Substitution

Substitution in y: 5(1 - 5x) - x = 5
Distribute 5: 5 - 25x - x = 5
Combine like terms: 5 - 26x = 5
Isolate x term: -26x = 0
Isolate x: x = 0

Step 5: Solve for y

Define equation: 5y - x = 5
Substitute in x: 5y - 0 = 5
Subtract: 5y = 5
Isolate y: y = 1

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The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.

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