How do I solve a multiplication table
1 answer:
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Answer is a= 51/7 or 7 2/7
Step by step
-2/3 (a + 3) = 5/3a - 19
Distribute to resolve parentheses
-2/3a -2 = 5/3a - 19
Now to move variables to one side
Add 2/3a to both sides
-2/3a + 2/3a -2 = 5/3a + 2/3a -19
Combine like terms
-2 = 7/3a -19
Add 19 to both sides to isolate variable
-2 +19 = 7/3a -19 + 19
17 = 7/3a
Divide both sides by 7/3 to solve for a
(Remember when you divide a fraction, flip it and multiply.)
17 * 3/7 = a
51/7 = a
Picture attached shows steps in order, I think that is what you also needed?
Step by step
-2/3 (a + 3) = 5/3a - 19
Distribute to resolve parentheses
-2/3a -2 = 5/3a - 19
Now to move variables to one side
Add 2/3a to both sides
-2/3a + 2/3a -2 = 5/3a + 2/3a -19
Combine like terms
-2 = 7/3a -19
Add 19 to both sides to isolate variable
-2 +19 = 7/3a -19 + 19
17 = 7/3a
Divide both sides by 7/3 to solve for a
(Remember when you divide a fraction, flip it and multiply.)
17 * 3/7 = a
51/7 = a
Picture attached shows steps in order, I think that is what you also needed?
Hmmmm to convert from improper to mixed, simply do the division of both, the quotient gets upfront, the remainder as the numerator, for example,
how many times 3 goes into 81? well, 27 times, with a remainder of 0, thus
how many times does 2 go into 29? well 14 times, with a remainder of 1, thus
how many times 3 goes into 81? well, 27 times, with a remainder of 0, thus
how many times does 2 go into 29? well 14 times, with a remainder of 1, thus