Question and answer
2/9y-4=2/3
2/9y-4=2/3 is equal to: y=21 Solution: Solve for y: (2 y)/9-4 = 2/3 Put the fractions in (2 y)/9-4 over a common denominator. Put each term in (2 y)/9-4 over the common denominator 9: (2 y)/9-4 = (2 y)/9-(36)/9: (2 y)/9-(36)/9 = 2/3 Combine (2 [ y)/9-(36)/9 into a single fraction. (2 y)/9-(36)/9 = (2 y-36)/9: (2 y-36)/9 = 2/3 Factor the polynomial, 2 y-36. Factor 2 from the polynomial 2 y-36: 2 (y-18)/9 = 2/3 Multiply both sides by a constant to simplify the equation. Multiply both sides of (2 (y-18))/9 = 2/3 by 9/2: ((9×2 (y-18))/(2))/(9) = 9/2×2/3 Express 9/2×2/3 as a single
fraction. 9/2×2/3 = (9×2)/(2×3): (9×2 (y-18))/(2×9) = (9×2)/(2×3) Cancel common terms in the numerator and denominator of (9×2 (y-18))/(2×9). (9×2 (y-18))/(2×9) = (2×9)/(2×9)×(y-18) = y-18: y-18 = (9×2)/(2×3) Cancel common terms in the numerator and denominator of (9×2)/(2×3). (9×2)/(2×3) = 2/2×9/3 = 9/3: y-18 = 9/3 Reduce 9/3 to lowest terms. The gcd of 9 and 3 is 3, so 9/3 = (3×3)/(3×1) = 3/3×3 = 3: y-18 = 3 Isolate terms with y to the left hand side. Add 18 to both sides: y+(18-18) = 3+18 Look for two terms that sum to zero. 18-18 = 0: y = 3+18 Evaluate 3+18. 3+18 = 21: Answer: | | y = 21 ]
Expert answered|emdjay23|Points 2314|
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Asked 9/16/2013 2:12:17 PM
Updated 7/31/2014 11:44:35 AM
1 Answer/Comment
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2/9y - 4 = 2/3;
2/9y = 2/3 + 4;
2/9y = 14/3;
y = (14/3)/(2/9);
y = (14*9)/(3*2);
y = 126/6;
y = 21
Added 7/31/2014 11:44:35 AM
This answer has been confirmed as correct and helpful.
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Updated 7/31/2014 11:42:56 AM
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1/2y-7=9
Weegy: 1/2y-7=9 is equal to: y=32 Solution: Solve for y: y/2-7 = 9 Put the fractions in y/2-7 over a common denominator. Put each term in y/2-7 over the common denominator 2: y/2-7 = y/2-(14)/2: y/2-(14)/2 = 9 Combine y/2-(14)/2 into a single [ fraction. y/2-(14)/2 = (y-14)/2: (y-14)/2 = 9 Multiply both sides by a constant to simplify the equation. Multiply both sides of (y-14)/2 = 9 by 2: (2 (y-14))/2 = 2×9 Cancel common terms in the numerator and denominator of (2 (y-14))/2. (2 (y-14))/2 = 2/2×(y-14) = y-14: y-14 = 2×9 Multiply 2 and 9 together. 2×9 = 18: y-14 = 18 Isolate terms with y to the left hand side. Add 14 to both sides: y+(14-14) = 18+14 Look for two terms that sum to zero. 14-14 = 0: y = 18+14 Evaluate 18+14. 18+14 = 32: Answer: | | y = 32 ] (More)
Question
Expert Answered
Updated 7/28/2014 2:42:10 PM
1 Answer/Comment
1/2y - 7 = 9;
1/2y = 9 + 7;
1/2y = 16;
y = 16/(1/2);
y = 32
Added 7/28/2014 2:42:10 PM
This answer has been confirmed as correct and helpful.
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