2x+=2x+7 3x+18=5x+83
check to show that the system of equations has one solution. Explain your work
We have two equations:
1. 2x + 0 = 2x + 7 (This equation simplifies to 0 = 7, which is not true.)
2. 3x +18 = 5x + 83 (This equation simplifies to 2x = -65, which means x = -65/2)
Since the two equations have different solutions (one doesn't have a solution and the other has one solution), there is no way for the system to have one solution. Therefore, the system of equations given does not have one solution.