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    solve for 2y=16-2x

    0  Views: 662 Answers: 1 Posted: 11 years ago

    1 Answer

    1. Subtract 2y from both sides to move it out of the way:
    2x+%2B+2y+-+2y+=+16+-+2y
    2x+=+16+-+2y
    2. Divide both sides by 2 to move it out of the way:
    2x%2F2+=+%2816+-+2y%29%2F2
    3. Regroup fraction on the right side:
    2x%2F2+=+16%2F2+-+2y%2F2
    4. Cancel 2s and divide 16 by 2:
    x+=+8+-+y
    ..
    Solve to get one answer:
    5. Replace the variable in the other equation with your answer:
    2%288+-+y%29+%2B+6y+=+28
    Distribute the 2
    16+-+2y+%2B+6y+=+28
    16+%2B+4y+=+28
    6. Subtract 16 from both sides to move it out of the way:
    16+%2B+4y+-+16+=+28+-+16
    4y+=+12
    7. Divide by 4 to get to y:
    4y%2F4+=+12%2F4
    y+=+3
    ..
    Put this answer in an equation to get the other answer:
    8. Replace y with what it equals:
    x+=+8+-+y
    x+=+8+-+3
    9. Subtract to get the second answer:
    x+=+5
    ..
    Check:
    10. Use first equation:
    2x%2B2y=16
    11. Replace variables with what they equal:
    2%285%29+%2B+2%283%29+=+16
    12. Multiply:
    10+%2B+6+=+16
    13. Add:
    16+=+16
    ..
    Check more:
    14. Use second equation:
    2x%2B6y=28
    15. Replace variables with what they equal:
    2%285%29+%2B+6%283%29+=+28
    16. Multiply:
    10+%2B+18+=+28

    28+=+28

     

    28 ?

     

     


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