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Common Core Standard HSA-REI.C.5 Questions

Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

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Grade 11 Matrices CCSS: HSA-REI.C.5
Which of the following is an equivalent system of equations to the one given?

3x+5y=5
2x+y=8
  1. -7x=-35,  2x+y=8
  2. 3x+5y=5,  -13x=-17
  3. 3x+5y=5,  2x=8
  4. y=11,  2x+y=8
Grade 10 Systems of Equations CCSS: HSA-REI.C.5
Which of the following systems of equations is equivalent to the one given? There may be more than one correct answer.
4x+3y=-2
2x-2y=6
  1. 4x+3y=-2,   -72y=7
  2. 4x+3y=-2,   2x=-8
  3. 7y=-14,   2x-2y=6
  4. x=-11,   2x-2=6
Grade 10 Systems of Equations CCSS: HSA-REI.C.5
Which of the following systems of equations is equivalent to the one given? There may be more than one correct answer.
2x+3y=6
4x+2y=-4
  1. 3y=8,    4x+2y=-4
  2. -2x=10,    4x+2y=-4
  3. 6x+5y=2,    4x+2y=-4
  4. 2x+3y=6,    4y=16

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