Question

Write y+7 = 2/3 (4x-6) in standard form using integers

Answer 1

9514 1404 393

Answer:

  8x -3y = 33

Step-by-step explanation:

Multiply by 3 to eliminate the fraction. Then rearrange to standard form.

  y +7 = 2/3(4x -6) . . . . . . . given

  3(y +7) = 2(4x -6) . . . . . . . multiply by 3

  3y +21 = 8x -12 . . . . . . . . eliminate parentheses

  33 = 8x -3y . . . . . . . . . . add 12-3y to both sides

  8x -3y = 33 . . . . . . . . . swap sides to put into standard form

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Standard form has mutually prime integer coefficients, the leading one being positive.