Question

1. \frac{12.84 + x}{2.89} = -2.166

Explanation:

Step1: Rewrite the equation

The equation is $\frac{12.84 + x}{2.89} = -2.166$. Multiply both sides by 2.89 to eliminate the denominator:
$12.84 + x = -2.166\times2.89$

Step2: Calculate the right - hand side

First, calculate $-2.166\times2.89$.
$2.166\times2.89 = 2.166\times(2 + 0.8+0.09)=2.166\times2+2.166\times0.8 + 2.166\times0.09=4.332+1.7328+0.19494 = 6.25974$
So, $-2.166\times2.89=-6.25974$

Step3: Solve for x

Now we have the equation $12.84 + x=-6.25974$. Subtract 12.84 from both sides:
$x=-6.25974 - 12.84=-19.09974$

Answer:

$x\approx - 19.10$ (or $x=-19.09974$)