Question

$1 \x - 1 \a + 1 \ x - 1 \b = a + b$
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Answer 1

Answer:

Step-by-step explanation:

\begin{gathered}1. \: \: \frac{x + 7}{13x + 9} = \frac{1}{2} \\ 2x + 14 = 13x + 9 \\ 14 - 9 = 13x - 2x \\ 5 = 11x \\ x = \frac{5}{11} \\ \\ 2. \: \: \: \frac{a + 1}{2 - 4a} - \frac{ 1}{3} = \frac{5}{12} \\ \frac{a + 1}{2 - 4a} = \frac{5}{12} + \frac{1}{3} = \frac{5 + 4}{12} = \frac{9}{12} = \frac{3}{4} \\ 4a + 4 = 6 - 12a \\4a + 12a = 6 - 4 \\ 16a = 2 \\ a = \frac{2}{16} = \frac{1}{8} \end{gathered}

1.

13x+9

x+7

=

2

1

2x+14=13x+9

14−9=13x−2x

5=11x

x=

11

5

2.

2−4a

a+1

−

3

1

=

12

5

2−4a

a+1

=

12

5

+

3

1

=

12

5+4

=

12

9

=

4

3

4a+4=6−12a

4a+12a=6−4

16a=2

a=

16

2

=

8

1

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