Chapter 3 : Pair of Linear Equations in Two Variables

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The solution of 2x + y = 11 and x − y = 1 is

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A pair of linear equations in two variables is represented graphically by

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Solve: 3x + 2y = 12 and x + y = 5

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The equations 2x + y = 4 and 4x + 2y = 8 are

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The solution of x + y = 6 and x − y = 2 is

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Which method involves drawing graphs?

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Solve: 2x − y = 5 and x + y = 4

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The equations x + 2y = 3 and 2x + 4y = 6 are

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Solve: 3x + y = 10 and x − y = 2

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If two lines intersect, then the equations are

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The solution of x + y = 9 and x − y = 1 is

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Which pair represents intersecting lines?

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Solve: 2x + 3y = 13 and x + y = 5

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Coincident lines are

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The solution of x + 2y = 8 and x − y = 2 is

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Which pair has no solution?

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Solve: 2x + y = 9 and x + y = 6

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The pair of equations is consistent if it has

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The solution of 3x − y = 5 and x + y = 7 is

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The equations 2x + 3y = 6 and 4x + 6y = 9 are

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The equations x + y = 4 and x − y = 0 intersect at

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The pair x − 2y = 4 and 2x − 4y = 8 has

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Which method eliminates one variable first?

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The solution of 2x + y = 8 and x − y = 1 is

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If a1/a2 = b1/b2 ≠ c1/c2, then the lines are

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The equations 5x − y = 9 and 10x − 2y = 18 are

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Solve: x + y = 10 and x − y = 4

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The graphical solution is the point where the lines

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If two equations represent the same line, then they have

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The solution of 3x + y = 11 and x + y = 7 is

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The equations 2x + y = 3 and 4x + 2y = 9 are

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The pair x + 2y = 6 and 2x + 4y = 12 has

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Which method is based on replacing one variable?

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The solution of x − y = 2 and x + y = 8 is

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The equations 3x + y = 10 and 6x + 2y = 20 are

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A pair of linear equations in two variables can have maximum

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The solution of 2x + y = 7 and x + y = 5 is

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The equations x + y = 2 and x + y = 5 are

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Which condition gives infinitely many solutions?

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The pair 2x + y = 5 and x − y = 1 has solution

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The equation x + 2y = 4 represents a

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If two lines are parallel, the system has

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The solution of x + y = 7 and x − y = 3 is

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Which method uses determinants to solve equations?

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The pair of equations 3x + 2y = 12 and 6x + 4y = 24 has

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The equations 2x − y = 3 and 4x − 2y = 8 are

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The pair x + y = 5 and x − y = 1 has solution

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If a1/a2 ≠ b1/b2, then the pair of equations has

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The graphical representation of a pair of linear equations with one solution is

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The pair of equations 2x + 3y = 6 and 4x + 6y = 12 has

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