Which equation has exactly one solution?%0D%0A%0D%0AThis question requires you to show your work.%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A9x+3=9x−9%0D%0A9%0D%0A%0D%0A+%0D%0A3%0D%0A=%0D%0A9%0D%0A%0D%0A−%0D%0A9%0D%0A9 x plus 3 is equal to 9 x minus 9%0D%0A%0D%0A6x+12=6(x+2)%0D%0A6%0D%0A%0D%0A+%0D%0A12%0D%0A=%0D%0A6%0D%0A(%0D%0A%0D%0A+%0D%0A2%0D%0A)%0D%0A6 x plus 12 is equal to 6 times open paren x plus 2 close paren%0D%0A%0D%0A2x+6=3x+2%0D%0A2%0D%0A%0D%0A+%0D%0A6%0D%0A=%0D%0A3%0D%0A%0D%0A+%0D%0A2%0D%0A2 x plus 6 is equal to 3 x plus 2%0D%0A%0D%0A3(x+1)=3x
The equation that has exactly one solution is:
3(x+1) = 3x
Expanding both sides:
3x + 3 = 3x
Subtracting 3x from both sides:
3 = 0
Since 3 = 0 is a contradiction, there is no solution to the equation.