Question

4 / (2x+3) = 5 / (x+4) .​

Answer 1

Answer:

x=1/6

Step-by-step explanation:

4/2x+3=5/x+4

4(x+4)=5(2x+3)

4x+16=10x+15

16–15=10x–4x

1=6x

x=1/6

Answer 2

$\frac{4}{2x + 3} = \frac{5}{x + 4} \\\ \\ cross \: multiplication \\ \\ 4(x + 4) = 5(2x + 3) \\ \\ 4x + 16 = 10x + 15 \\ \\ 16 - 15 = 10x - 4x \\ \\ 1 = 6x \\ \\ 6x = 1 \\ \\ x = \frac{1}{6}$