Question

1)-6.4:a-2.9=-16.3; 2)-5/6:b+3 1/4=3 1/6.

Answer 1

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Answer 2

Let's solve these two equations step by step:

1. -6.4a - 2.9 = -16.3

First, let's get rid of the constant terms by adding 2.9 to both sides of the equation:

-6.4a = -16.3 + 2.9 -6.4a = -13.4

Now, we need to isolate 'a' by dividing both sides by -6.4:

a = (-13.4) / (-6.4) a ≈ 2.09

So, the solution for the first equation is a ≈ 2.09.

2. -5/6b + 3 1/4 = 3 1/6

Let's first convert the mixed numbers to improper fractions:

-5/6b + 13/4 = 19/6

Now, let's isolate 'b' by subtracting 13/4 from both sides:

-5/6b = 19/6 - 13/4

Now, find a common denominator, which is 12:

-5/6b = (19/6) * (2/2) - (13/4) * (3/3) -5/6b = 38/12 - 39/12

-5/6b = -1/12

To isolate 'b', we need to divide both sides by -5/6, which is the same as multiplying by -6/5:

b = (-1/12) * (-6/5) b = 1/10

So, the solution for the second equation is b = 1/10.