Answer:
No solution: [tex]4(0.6x-0.9)=2.4x-2.8[/tex]
One solution: [tex]0.5(3x-8)=0.8x+0.9[/tex]
Many solutions: [tex]4.2x-3.8=7(0.6x-0.7)+1.1[/tex]
Step-by-step explanation:
[tex]4.2x-3.8=7(0.6x-0.7)+1.1[/tex]
[tex]\implies 4.2x-3.8=4.2x-3.8[/tex]
Therefore, true for all [tex]x[/tex] so many solutions
[tex]4(0.6x-0.9)=2.4x-2.8[/tex]
[tex]\implies 2.4x-3.6=2.4x-2.8[/tex]
[tex]\implies -3.6=-2.8[/tex]
Therefore, no solution
[tex]0.5(3x-8)=0.8x+0.9[/tex]
[tex]\implies 1.5x-4=0.8x+0.9[/tex]
[tex]\implies 0.7x=4.9[/tex]
[tex]\implies x=7[/tex]
Therefore, one solution
