Find the value of $$ x $$ that makes each equation true. Homework Help $$ \begin{array}{ll} ext { a. }-4.9 x=9.8 & ext { b. } \frac{8}{21}=-\frac{2}{7} x\end{array} $$

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Find the value of $$ x $$ that makes each equation true. Homework Help $$ \begin{array}{ll}	ext { a. }-4.9 x=9.8 & 	ext { b. } \frac{8}{21}=-\frac{2}{7} x\end{array} $$

UpStudy AI · Accepted Answer

**a. Solve $$-4.9x = 9.8$$:**

1. Isolate $$ x $$ by dividing both sides of the equation by $$-4.9$$:
   $$
   x = \frac{9.8}{-4.9}
   $$

2. Compute the division:
   $$
   x = -2
   $$

**b. Solve $$\frac{8}{21} = -\frac{2}{7}x$$:**

1. Isolate $$ x $$ by multiplying both sides by the reciprocal of $$-\frac{2}{7}$$, which is $$-\frac{7}{2}$$:
   $$
   x = \frac{8}{21} \times \left(-\frac{7}{2}\right)
   $$

2. Multiply the numerators and the denominators:
   $$
   x = -\frac{8 \times 7}{21 \times 2} = -\frac{56}{42}
   $$

3. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, 14:
   $$
   x = -\frac{4}{3}
   $$

Thus, the solutions are:
- For equation (a): $$ x = -2 $$
- For equation (b): $$ x = -\frac{4}{3} $$
$$ x = -2 $$ for equation (a) and $$ x = -\frac{4}{3} $$ for equation (b).

Find the value of that makes each equation true. Homework Help

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