Use the Substitution Method or the Elimination Method to Solve $( x , - 3 x + 6 )$

question 54

Multiple Choice

Use the substitution method or the elimination method to solve the system. If the system has infinitely many solutions, express the ordered pair in terms of x or y.
-3x + y = 6 -6x - 2y = -12

• A) \(( x , - 3 x + 6 )\) or \(\left( - \frac { 1 } { 3 } y + 2 , y \right)\)
• B) \(( x , 3 x + 6 )\) or \(\left( \frac { 1 } { 3 } y - 2 , y \right)\)
• C) no solution
• D) \(\left( - \frac { 1 } { 3 } x + 2 , x \right)\) or \(( y , - 3 y + 6 )\)

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Definitions:

Standard Error

A measure of the dispersion or variability of a sample statistic, such as the mean, from the population mean, often used to indicate precision.

Standard Error

The standard deviation of the sampling distribution of a statistic, most commonly the mean, reflecting the variability of an estimate from sample to sample.

Estimate

An approximate calculation or judgment of the value, number, quantity, or extent of something.

Coefficient of Determination

A statistical measure, often denoted as R², that represents the proportion of the variance in the dependent variable that is predictable from the independent variable(s).