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Algebra 2

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1.) Write a system of equations that has NO solution.
2.) If you wanted to eliminate the y variables in the system of equations below, what would you multiply the first and second equations by?( Do not solve the equation) 2x-3y=8
7x-4y=11

  • Algebra 2 -

    Try
    x+t=14
    2x+2y=28

    2. If you multiply #1 by 4 the coefficient of y will be -12. Multiply #2 by 3 will give the coefficient of y as -12. \Subtracting then would eliminte y.
    Check my thinking.

  • Algebra 2 -

    2.)

    Multiply the first equation by 4 and the second equation by -3.

    4(2x - 3y = 8), so 8x - 12y = 32
    -3(7x - 4y = 11), so -21x + 12y = -33

    So, the first equation has -12y and the second equation has 12y, so the y variables cancel out.

  • Algebra 2 -

    Try
    x+t=14
    2x+2y=28

    I made a typo. first equation should be x+y=14 y and not t.

    Note that Adams' response eliminates y by addition in problem #2. My response eliminates y by subtraction. Either is correct.

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