Exploring Systems of Linear Equations

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Betty correctly determined that the ordered pair (-3, 5) is a solution to the system of linear equations mc004-1.jpg and x + 4y = 17. Based on this information, which statement is correct?

(-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

Which ordered pair is the solution to the system of linear equations mc006-1.jpg and mc006-2.jpg?

(1,-5)

Which ordered pair is the solution to the system of linear equations mc007-1.jpg and mc007-2.jpg?

(6, -4) wrong

Which system of linear equations has the ordered pair (4, -5) as a solution?

3x-2y=22 and 2x+9y=-37

Suppose that when a system of linear equations is graphed, one line completely overlaps the other line. Which statement is correct?

The system of equations does not have only one solution because the lines do not intersect at only one point.

Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations?

They intersect at one point.

Which ordered pair is a solution to the system of linear equations mc008-1.jpg and mc008-2.jpg?

mc008-4.jpg wrong

What is the solution to the system of linear equations graphed below? mc016-1.jpg

mc016-2.jpg

What is the solution to the system of linear equations graphed below? mc017-1.jpg

mc017-4.jpg

What is the solution to the system of equations graphed below? mc019-1.jpg

mc019-3.jpg


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