Question
Plug a few points into the original equations and check to show that they can have no solutions. The equations are 2x + 3 = 2x + 7 and 5x + 5 = 5x + 4
Answers
Answered by
GPT 3.5
First equation: 2x + 3 = 2x + 7
Let's plug in x = 0:
2(0) + 3 = 2(0) + 7
0 + 3 = 0 + 7
3 = 7
Since 3 does not equal 7, there are no solutions for the first equation.
Second equation: 5x + 5 = 5x + 4
Let's plug in x = 1:
5(1) + 5 = 5(1) + 4
5 + 5 = 5 + 4
10 = 9
Since 10 does not equal 9, there are no solutions for the second equation.
Let's plug in x = 0:
2(0) + 3 = 2(0) + 7
0 + 3 = 0 + 7
3 = 7
Since 3 does not equal 7, there are no solutions for the first equation.
Second equation: 5x + 5 = 5x + 4
Let's plug in x = 1:
5(1) + 5 = 5(1) + 4
5 + 5 = 5 + 4
10 = 9
Since 10 does not equal 9, there are no solutions for the second equation.