Question

x+1/2x+3 equal to 3/8​

Answer 1

Step-by-step explanation:

8(x+1)=3(2x+3)

8x+8=6x+9

8x-6x=9-8

2x=1

x=1/2

hope you understand that

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Answer 2

Answer:

$\large{\underline{\boxed{\sf x = \dfrac{1}{2}= 0.5}}}$

Step-by-step explanation:

Given that ;

$\sf \frac{x + 1}{2x + 3} = \frac{3}{8} \\ \\ \bf on \: cross - multiplying : \\ \\ \implies \sf 8(x + 1) = 3(2x + 3) \\ \\ \implies \sf 8x + 8 = 6x + 9 \\ \\ \implies \sf 8x - 6x = 9 - 8 \\ \\ \implies \sf 2x = 1 \\ \\ \boxed{ \bf \therefore \: x = \frac{1}{2} = 0.5 }$

Verification:

Putting the value of x in the above equation;

$\implies \sf \frac{x + 1}{2x + 3} = \frac{3}{8} \\ \\ \implies \sf \frac{0.5 + 1}{2(0.5) + 3} = \frac{3}{8} \\ \\ \implies \sf \frac{1.5}{1 + 3} = \frac{3}{8} \\ \\ \implies \sf \frac{15}{4 \times 10} = \frac{3}{8} \\ \\ \implies \sf \frac{15}{40} = \frac{3}{8} \\ \\ \implies \sf \frac{3}{8} = \frac{3}{8}$

∴ LHS = RHS

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Hence, the value of x is 0.5 or $\bf\dfrac{1}{2}$