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# -3/2=-2a+1

I need to solve for "a" I tried to solve it and I ended up with (2 1/2)/2=a. I don't know if that is right or not and even if it is I don't know what to do next.

### 4 Answers by Expert Tutors

Ebenezer O. | Aerospace Engr & Air Traffic Control Grad For General Ed. TutoringAerospace Engr & Air Traffic Control Gra...
4.6 4.6 (13 lesson ratings) (13)
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- 3/2 = - 2a +1
cross multiplyimg both side we'd have

( -3 * 1) = 2 ( -2a + 1 )
which gives;

-3 = -4a + 2
moves 2 over the equality sign and it become -2
we'd then have

-3 - 2 = -4a
which gives

-5 = -4a

solving for a, divide both sides by -4
we'd have

-5 / -4 = -4a / -4
giving

5/4 = a

Shelly J. | Excellent Maths Tutoring for academic successExcellent Maths Tutoring for academic su...
5.0 5.0 (261 lesson ratings) (261)
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Hi Ellie,

-3/2=-2a+1
subtract -1 to both the sides

-3/2-1=-2a+1-1
-3/2-1=-2a

-3/2-2/2=-2a
-5/2=-2a

multiply  by 1/-2 on both the sides to solve for a

(-5/2).1/-2=(-2a).1/-2

5/4=a

Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (9 lesson ratings) (9)
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(-3/2)=-2a+1
(-3/2)-1=-2a+1-1
(-5/2)=-2a
5/2=2a
(5/2)/2=2a/2
(5/2)(1/2)=a
5/4=a
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Hi Ellie;
-3/2=-2a+1
Let's get rid of the annoying fractions.
Let's multiply both sides by 2...
2(-3/2)=2(-2a+1)
-3=-4a+2
Let's subtract 2 from both sides...
-2-3=-4a
-5=-4a
Let's divide both sides by -4...
-5/-4=(-4a)/(-4)
A negative number divided by a negative number has a positive result...
5/4=a
Let's check our results...
-3/2=[(-2)(5/4)]+1
-3/2=(-10/4)+1
-3/2=(-5/2)+1
Let's note the fact that 1=2/2
-3/2=(-5/2)+(2/2)
All the denominators are the same.  These cancel...
-3=-5+2
-3=-3