Question

10 tell whether the equation has one solution, no solution, or an infinite number of solutions. 2.8 + 0.1x = 0.3(2 - x) answer: no solution one solution infinitely many solutions

Explanation:

Step1: Expand the right - hand side

$2.8 + 0.1x=0.3\times2-0.3x$
$2.8 + 0.1x = 0.6-0.3x$

Step2: Move terms with $x$ to one side

$0.1x + 0.3x=0.6 - 2.8$

Step3: Combine like terms

$0.4x=-2.2$

Step4: Solve for $x$

$x=\frac{-2.2}{0.4}=-\frac{22}{4}=-\frac{11}{2}=-5.5$

Answer:

one solution