Evaluating Linear Systems

Which of the following equations can be paired with 3𝑥 − 2𝑦 = 5 to make a consistent and dependent system of equations?

• −15x + 10y = −25

• 6x − 4y = −10

• x + 2y = 1

• 12x + 8y = 20

Which of the following ordered pair satisfies the given system

• (7,4)

• (−7, −4)

• (7, −4)

• (−7, 4)

What is the value of 𝑘 in the system if (−2, −1) satisfies both equations in the system?

• −1 and 1

• −2 and 2

• −3 and 3

• −4 and 4

Mario invested a total of P 25,000 in his two funds paying 6 % and 8%, respectively in annual interest. The combined annual interest is P 1,800. What system of linear equations in two variables will best represent the situation?

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Jayda was tasked by her teacher to verify if the ordered pair (−1, 2) will satisfy to the system. Is her solution correct

• Yes, because she substituted the values of the variable x = 1and 𝑦 = -2.

• Yes, because she followed the process of evaluating the system of linear equations.

• No, because the point (-1, 2) is not a common point of the given system of linear equations in two variables.

• No, because she is supposed to make two false statements that makes a solution of the system of linear equations.

What system of linear equations in two variables is equivalent to  

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Which of the following is a system of linear equations in two variables?

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Which of the following system of equations is consistent and independent?

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Which of the following systems of equations is consistent and dependent?

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Which of the following systems of equations is inconsistent?

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