SOLUTION: Please help 1) solve equation and simplify...... m+3/4=9/10 2)solve and show if it's identity or contradiction......3x-7+4x=x-7+6x 3) 3x=-19

Question 640612:
Please help
1) solve equation and simplify...... m+3/4=9/10
2)solve and show if it's identity or contradiction......3x-7+4x=x-7+6x
3) 3x=-19
Answer by josh_jordan(263) (Show Source): You can put this solution on YOUR website!
1.
To solve, we must get m by itself on the left side of the equal sign. Before we do this though, let's get rid of the fractions to make things easier. To do so, find what number is the first multiple of both denominators:
Multiples of 4: 4, 8, 12, 16, 20
Multiples of 10: 10, 20, 30, 40, 50

The first number each of these have in common is 20. So we can multiply both sides of the equal sign by 20:
, which simplifies down to:

Now we can start to get m by itself on the left side. First, we will subtract 15 from both sides, which leaves us with:

Finally, divide both sides by 20, which will give us our final answer:
FINAL ANSWER:
---------------------------------
2. solve and show if it's identity or contradiction......3x-7+4x=x-7+6x
When we combine all like terms on each side of the equal sign, we get:

Since both sides of the equal sign are identical, we know that any number we subtitute for x will give us the same result on both sides of the equal sign. Therefore, this equation is identity. To solve, subtract 7x from both sides of the equal sign, giving us -7 = -7. Since -7 DOES EQUAL -7, this once again proves this equation is identity.
FINAL ANSWER: -7 = -7 and the equation is an identity
--------------------------------
3. 3x=-19
To solve for x, just divide both sides by 3:

Since -19/3 cannot be reduced any further, we have our final answer.
FINAL ANSWER: -19/3

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