Question

Select whether each equation has no solution, one solution, or infinitely many solutions.

No solution


One solution


Infinitely many solutions

A)5x−7=5x


B)3x−9=3(x−3)


C)2x−6=−2(x−3)


D)2x+6−5x=−3(x

Answer 1

Explanation:

Answer 2

Explanation:

A) 5x - 7 = 5x becomes -7 = 0 if 5x is subtracted from both sides. This result is never true, so NO SOLUTION

B)3x−9=3(x−3) Performing the indicated multiplication, we get

3x - 9 = 3x - 9. This is always true, so there are INFINITELY MANY SOLUTIONS

C)2x−6=−2(x−3) Performing the indicated multiplication, we get

2x - 6 = -2x + 6. Adding 2x - 6 to both sides results in

4x - 12 = 0, or 4x = 12. Thus, the solution is x = 3. ONE SOLUTION

D)2x+6−5x=−3(x This equation is incomplete