To solve the equation \( \frac{3}{2}(4 - 8x) + 5x = 1 - 7x \), first distribute \( \frac{3}{2} \) to both terms inside the parentheses to get \( 6 - 12x + 5x = 1 - 7x \) and then combine like terms, resulting in \( 6 - 7x = 1 - 7x \). By adding \( 7x \) to both sides, we obtain \( 6 = 1 \), which is a contradiction, indicating that there are no solutions to the equation.
Justify your steps using the properties of equality and determine the number of solutions to the equation 3/2(4−8x)+5x=1−7x .
explane in 2 sentences
3 answers
so the right answer is??
The correct answer is that the equation has no solutions. The steps show that the resulting statement \( 6 = 1 \) is a contradiction, meaning there are no values of \( x \) that satisfy the original equation.