Question

name _ date _ block _ state whether the following equations have 1 solution (similar to the problems above), no solution (will never be equal), or infinite solutions (same thing on both sides of the equal sign) indique si las siguientes ecuaciones tienen 1 solución (similar a los problemas anteriores), ninguna solución (nunca serán iguales) o infinitas soluciones (lo mismo en ambos lados del signo igual) 7. - 4(-x + 1)=4x - 4 8. 3b - 9 = 3b - 8 9. -b=\frac{2b}{4} 10. 3(n - 3)=3n + 9

Explanation:

Step1: Simplify equation 7

Expand left - hand side: $-4(-x + 1)=4x-4$. The left - hand side $4x - 4$ is equal to the right - hand side. So, it has infinite solutions.

Step2: Analyze equation 8

Subtract $3b$ from both sides of $3b - 9=3b - 8$, we get $-9=-8$, which is false. So, it has no solution.

Step3: Simplify equation 9

Cross - multiply $-b=\frac{2b}{4}$ to get $-4b = 2b$. Then $-4b-2b=0$, so $-6b = 0$, and $b = 0$. It has 1 solution.

Step4: Simplify equation 10

Expand the left - hand side of $3(n - 3)=3n + 9$ to get $3n-9=3n + 9$. Subtract $3n$ from both sides, we get $-9 = 9$, which is false. So, it has no solution.

Answer:

1. Infinite solutions
2. No solution
3. 1 solution
4. No solution