Question

2 - 4 additional practice

1. leveled practice classify the equation 6x + 4x - 1 = 2(5x + 4) as having one solution, infinitely many solutions, or no solution.

6x + 4x - 1 = 2(5x + 4)
6x + 4x - 1 = □·5x+□·4
□ - 1 = □+□
10x - □ - 1 = 10x - □+8
since - 1□8, the equation has □ solution(s).

Explanation:

Step1: Expand right - hand side

$6x + 4x-1=2\times5x+2\times4$

Step2: Combine like terms on left - hand side

$(6x + 4x)-1 = 10x-1$，so $10x-1=10x + 8$

Step3: Subtract 10x from both sides

$10x-10x-1=10x-10x + 8$，which simplifies to $-1=8$

Answer:

no