Question

Is 7c + 3=3 +7c many solutions or no solution or one solution

Answer 1

`\tt Step-by-step~explanation:`

To find the answer, we could plug in random numbers and see if the equation is true all the time, or only one works.

`\tt First~try:~0`

We'll plug in 0 for c and see if the equation is still true.

`\tt 7(0)+3=3+7(0)\\0+3=3+0\\3=3\\TRUE`

`\tt Second~try:~1`

Let's plug in 1 for c this time.

`\tt 7(1)+3=3+7(1)\\7+3=3+7\\10=10\\TRUE`

`\tt Third~try:~2`

Finally, plug in 2. We could have only done 2 numbers, but I'll do a third one to demonstrate.

`\tt 7(2)+3=3+7(2)\\14+3=3+14\\17=17\\TRUE`

`\large\boxed{\tt Our~final~answer:~All~solutions}`