1/3y+1/4=5/12
solve for y
2/7j-1/7=3/14
solve for j
Change equations so denominators are the same.
1/3y turns to 4/12y (multiply by 4)
1/4 turns to 3/12 (multiply by 3)
Now all denominators are the same.
4/12y + 3/12 = 5/12
Subtract 3/12
4/12y = 2/12
Multiply both sides by 12 to get rid of denominator
4y = 2
Divide by 4
y = 2/4 or 1/2
1/3y + 1/4 = 5/12 Multiply both sides by 12 to get
12(1/3)y + 12(1/4) = 12(5/12)
4y + 3 = 5 Subtract 3 from both sides
4y = 2 Divide both sides by 4
y = 1/2
(1/3)y + 1/4 = 5/12 (multiply equation by least common denominator to get rid of fractions, which is 12)
4y + 3 = 5 (subtract 3 from both sides)
4y = 2 (divide both sides by 4)
y = 1/2 <===ANSWER
y equals 1/2
Copyright © 2024 Q2A.ES - All rights reserved.
Answers & Comments
Verified answer
Change equations so denominators are the same.
1/3y turns to 4/12y (multiply by 4)
1/4 turns to 3/12 (multiply by 3)
Now all denominators are the same.
4/12y + 3/12 = 5/12
Subtract 3/12
4/12y = 2/12
Multiply both sides by 12 to get rid of denominator
4y = 2
Divide by 4
y = 2/4 or 1/2
1/3y + 1/4 = 5/12 Multiply both sides by 12 to get
12(1/3)y + 12(1/4) = 12(5/12)
4y + 3 = 5 Subtract 3 from both sides
4y = 2 Divide both sides by 4
y = 1/2
(1/3)y + 1/4 = 5/12 (multiply equation by least common denominator to get rid of fractions, which is 12)
4y + 3 = 5 (subtract 3 from both sides)
4y = 2 (divide both sides by 4)
y = 1/2 <===ANSWER
y equals 1/2