Which equations have no solutions. Mark all that apply.%0D%0A%0D%0AThis problem requires you to show your work.%0D%0A%0D%0A(2 points)%0D%0AResponses%0D%0A%0D%0A5x+5=5(2x+2)%0D%0A5%0D%0A%0D%0A+%0D%0A5%0D%0A=%0D%0A5%0D%0A(%0D%0A2%0D%0A%0D%0A+%0D%0A2%0D%0A)%0D%0A5 x plus 5 is equal to 5 times open paren 2 x plus 2 close paren%0D%0A%0D%0A2(x+2)=2x+2%0D%0A2%0D%0A(%0D%0A%0D%0A+%0D%0A2%0D%0A)%0D%0A=%0D%0A2%0D%0A%0D%0A+%0D%0A2%0D%0A2 times open paren x plus 2 close paren is equal to 2 x plus 2%0D%0A%0D%0A6(x+8)=6x+5%0D%0A6%0D%0A(%0D%0A%0D%0A+%0D%0A8%0D%0A)%0D%0A=%0D%0A6%0D%0A%0D%0A+%0D%0A5%0D%0A6 times open paren x plus 8 close paren is equal to 6 x plus 5%0D%0A%0D%0A7x+3−4x=3(x+1)

Question

Which equations have no solutions.  Mark all that apply.%0D%0A%0D%0AThis problem requires you to show your work.%0D%0A%0D%0A(2 points)%0D%0AResponses%0D%0A%0D%0A5x+5=5(2x+2)%0D%0A5%0D%0A%0D%0A+%0D%0A5%0D%0A=%0D%0A5%0D%0A(%0D%0A2%0D%0A%0D%0A+%0D%0A2%0D%0A)%0D%0A5 x plus 5 is equal to 5 times open paren 2 x plus 2 close paren%0D%0A%0D%0A2(x+2)=2x+2%0D%0A2%0D%0A(%0D%0A%0D%0A+%0D%0A2%0D%0A)%0D%0A=%0D%0A2%0D%0A%0D%0A+%0D%0A2%0D%0A2 times open paren x plus 2 close paren is equal to 2 x plus 2%0D%0A%0D%0A6(x+8)=6x+5%0D%0A6%0D%0A(%0D%0A%0D%0A+%0D%0A8%0D%0A)%0D%0A=%0D%0A6%0D%0A%0D%0A+%0D%0A5%0D%0A6 times open paren x plus 8 close paren is equal to 6 x plus 5%0D%0A%0D%0A7x+3−4x=3(x+1)

GPT 3.5 · Answer

The equations that have no solutions are:
1. 2(x+2)=2x+2
2. 6(x+8)=6x+5
3. 7x+3−4x=3(x+1)

Explanation:
1. Expanding both sides gives 2x+4=2x+2. Simplifying further results in 4=2 which is not a true statement, indicating no solution.
2. Expanding both sides gives 6x+48=6x+5. Simplifying further results in 48=5 which is not a true statement, indicating no solution.
3. Simplifying both sides gives 3x+3=3x+3. Subtracting 3x from both sides results in 3=3, which is a true statement. However, this implies all values are a solution, which means there are infinite solutions rather than none.