Question

3(1-x)+2(1+x)/4+3x if x = 15/-16​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The value of the expression

$\sf\:\dfrac{3\:(\:1\:-\:x\:)\:+\:2\:(\:1\:+\:x\:)}{4\:+\:3x}$

is

$\boxed{\red{\sf\:5}}$

Step-by-step-explanation:

We have given that $\sf\:x\:=\:-\:\frac{15}{16}$.

We have to find $\sf\:\dfrac{3\:(\:1\:-\:x\:)\:+\:2\:(\:1\:+\:x\:)}{4\:+\:3x}$

$\therefore$ By substituting

$\sf\:x\:=\:-\:\frac{15}{16}$ in

$\sf\:\dfrac{3\:(\:1\:-\:x\:)\:+\:2\:(\:1\:+\:x\:)}{4\:+\:3x}$,

we get,

$\sf\:\dfrac{3\:(\:1\:-\:x\:)\:+\:2\:(\:1\:+\:x\:)}{4\:+\:3x}\\\\\implies\sf\:\dfrac{3\:-\:3x\:+\:2\:+\:2x}{4\:+\:3x}\\\\\implies\sf\:\dfrac{3\:+\:2\:-\:3x\:+\:2x}{4\:+\:3x}\\\\\implies\sf\:\dfrac{5\:-\:x}{4\:+\:3x}\\\\\implies\sf\:\dfrac{5\:-\:(\:\frac{-\:15}{16}\:)}{4\:+\:3\:\times\:(\:\frac{-\:15}{16}}\\\\\implies\sf\:\dfrac{5\:+\:\frac{15}{16}}{4\:-\:\frac{45}{16}}\\\\\implies\sf\:\dfrac{\frac{80\:+\:15}{16}}{\frac{64\:-\:45}{16}}\\\\\implies\sf\:\dfrac{\frac{95}{16}}{\frac{19}{16}}\\\\\implies\sf\:\frac{\cancel{95}}{\cancel{16}}\:\times\:\frac{\cancel{16}}{\cancel{19}}\\\\\implies\boxed{\red{\sf\:5}}$

Additional Information:

1. Substitution of the value of variable:

When the value of a variable is substituted in the given expression, we get the value of that expression.

2. Method to solve such problems:

1. First solve the expression for the last step.

2. Substitute the value of variable in the last step.

3. Solve the expression and get the value of the expression.