Linear Equations and Systems of Linear Equations

Which statement is true about the system (see photo)?

• There is one ordered pair that will both equations.

• There is no ordered pair that will satisfy both equations.

• There is infinitely many ordered pairs that will satisfy both equations.

• Equation 2 is obtained by multiplying each term in equation 1 by 3.

Dustin Zayd was tasked by his teacher to find an ordered pair that satisfies the given system (see photo). His answer is point (3, 4) is he correct?

• Yes, because he substituted the variable of x = 3 and y = 4 to the system of linear equations.

• Yes, because he yielded two true statements that makes a solution of the system of linear equations.

• No, because he did not follow the steps in evaluating system of linear equations in two variables.

• No, because the point (3, 4) does not satisfy the given system of linear equations in two variables.

Determine whether each pair of equations in the system is equivalent or not.

• Equivalent

• Not equivalent

Determine whether each pair of equations in the system is equivalent or not.

• Equivalent

• Not equivalent

Determine whether each pair of equations in the system is equivalent or not.

• Equivalent

• Not equivalent

Determine whether each pair of equations in the system is equivalent or not.

• Equivalent

• Not equivalent

Determine whether each pair of equations in the system is equivalent or not.

• Equivalent

• Not equivalent

Using the slope and y-intercept, tell whether the system of equations are consistent and independent, consistent and dependent, or inconsistent.

• consistent and independent

• consistent and dependent

• inconsistent

Using the slope and y-intercept, tell whether the system of equations are consistent and independent, consistent and dependent, or inconsistent.

• consistent and independent

• consistent and dependent

• inconsistent