2. Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x+4(x-1)=2
(b) 25-x=15-(3x+10)
(c) 4x=2x+2x+5(x-x)
(a) 2x+4(x-1)=2 2x+4x-4=2---- Distrubution of 4(x-1) 6x-4=2---- Combining like terms 6x=6---- Making -4 equal 0 by adding +4 to both sides x=1---- Divide the coefficiant (6)
(b) 25-x=15-(3x+10) 25-x=15-3x-10----Distribute the -1 25-x=5-3x---- Combine like terms 25=5-2x---- Make -x equal 0 by adding +x to both sides 20=-2x---- Make 5 equal zero by subtracting 5 (or adding -5) to both sides -10=x---- Divide by the coefficiant (-2)
(c) 4x= 2x+2x+5(x-x) 4x=2x+2x+5(0)---- Distribute. Alright this might look hard but realy it is 1x-1x so the answer is 0 4x=2x+2x---- 5 times 0 is 0 4x=4x---- Combine like terms x=x ---- divide by the coefficiant
