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2 years ago

Solve the system using substitution. y - 3x = 1 2y - x = 12 ([?], [])

Mathematics

1 answer:

anyanavicka [17]2 years ago

4 0

Answer:

(2, 5)

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 - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

Add 3x on both sides: y = 3x + 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

Substitute in y: 2(3x + 1) - x = 12
Distribute 2: 6x + 2 - x = 12
Combine like terms: 5x + 2 = 12
Isolate x term: 5x = 10
Isolate x: x = 2

Step 5: Solve for y

Define equation: 2y - x = 12
Substitute in x: 2y - 2 = 12
Isolate y term: 2y = 10
Isolate y: y = 5

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2 years ago

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c

Anna [14]

Answer:

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Step-by-step explanation:

From the question we are told the confidence level is 95% , hence the level of significance is

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=> $\alpha = 0.05$

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Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

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Here assume that $Z_{\frac{\alpha }{2} } \ and \ \sigma \$ is constant so

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So let $n_1 = 400$ and $n_2 = 100$

=> $E_1 \sqrt{400} = E_2 \sqrt{100}$

=> $E_1 = \frac{\sqrt{100} }{\sqrt{400} } E_2$

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2 years ago

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1 year ago

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mamaluj [8]

Answer:

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Step-by-step explanation:

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2 years ago