solve : 5/7 -2a = 3/2a + 1
Answers
Equation: 5/7 -2a = 3/2a + 1
How to solve? Step-by-step explanation:
Step 1)
Rearrange terms
5/7-2a=3/2.a+1
-2a+5/7=3/2.a+1
Step 2)
Combine multiplied terms into a single fraction
-2a+5/7=3/2a+1
-2a+5/7=3a/2+1
Step 3)
Subtract 5/7 from both sides of the equation
-2a+5/7=3a/2+1
-2a+5/7-5/7=3a/2+1-5/7
Step 4)
Simplify
Subtract the numbers:
-2a+5/7-5/7=3a/2+1-5/7
-2a=3a/2+1-5/7
Subtract the numbers:
-2a=3a/2+2/7
Step 5)
Multiply all terms by the same value to eliminate fraction denominators
-2a=3a/2+2/7
2(-2)a=2(3a/2+2/7)
Step 6)
Simplify
Multiply the numbers
-2(-2)a=2(3a/2+2/7)
-4a=2(3a/2+2/7)
Distribute
-4a=2(3a/2+2/7)
-4a=2.3a/2+4/7
Cancel multiplied terms that are in the denominator
-4a=3a+4/7
Step 7)
Subtract 3a from both sides of the equation
-4a=3a+4/7
-4a-3a=3a+4/7-3a
Step 8)
Combine like terms
-4a-3a=3a+4/7-3a
-7a=3a+4/7-3a
Combine like terms
-7a=4/7
Step 9)
Divide both sides of the equation by the same term
-7a=4/7
-7a/-7=(4/7)/(-7)
Step 10)
Cancel terms that are in both the numerator and denominator
-7a/-7=(4/7)/(-7)
a=(4/7)/(-7)
Divide the numbers
a=-4/49
Solution: a=-4/49
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-4/49 I hope it works
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