AnswersAlgebra ISolving Systems of Linear Equations: Linear Combinations

Solving Systems of Linear Equations: Linear Combinations — Quiz Answers

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To eliminate the y -terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First Equation: 5 x minus 4 y is equal to 28 Second equation: 3 x minus 9 y is equal to 30

A
The first equation should be multiplied by 3 and the second equation by 5 .
B
The first equation should be multiplied by 3 and the second equation by negative 5 .
C
The first equation should be multiplied by 9 and the second equation by negative 4 .
D
The first equation should be multiplied by 9 and the second equation by 4 .
3

Which statement is true about the equations negative 3 x plus 4 y is equal to 12 and 1 fourth x minus 1 third y is equal to 1 ?

A
The system of the equations has exactly one solution at negative 4 comma 3 .
B
The system of the equations has an infinite number of solutions represented by either equation.
C
The system of the equations has exactly one solution at negative 8 comma 3 .
D
The system of the equations has no solution; the two lines are parallel.
6

To eliminate the x -terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6 x minus 5 y is equal to 17 Second equation: 7 x plus 3 y is equal to 11

A
The first equation should be multiplied by 7 and the second equation by negative 6 .
B
The first equation should be multiplied by 7 and the second equation by 6 .
C
The first equation should be multiplied by 3 and the second equation by negative 5 .
D
The first equation should be multiplied by 3 and the second equation by 5 .
9

Which statement describes the graph of the given system of equations? 1 point 5 x plus 0 point 2 y is equal to 2 point 68 1 point 6 plus 0 point 3 y is equal to 2 point 98

A
The lines intersect at 1 point 6 comma 1 point 4 .
B
The lines intersect at 3 point 1 comma 0 point 5 .
C
The lines are parallel.
D
The lines overlap at all points.

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