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1.3b Practice Your teacher has limited times you may check yo this item i Determine whether the equation 2(h+1) = 5h – 7 has one solution, no solution, or infinitely many solutions. The equation has If the equation has a solution, enter it below. If the equation has no solution or infinitely many solutions, leave the solution field blank.​

1 Answer

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9514 1404 393

Answer:

one solution: h = 3

Explanation:

The coefficients of h on either side of the equal sign are different, so there is one solution. (If they were the same, there might be 0 or infinite solutions.)

2(h +1) = 5h -7 . . . . given

2h +2 = 5h -7 . . . . eliminate parentheses

9 = 3h . . . . . . . . . . add 7-2h

3 = h . . . . . . . . . . . divide by 3

The solution is h = 3.

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