pls help me!

21. Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. (3 points)

3x + 6 = 2(x+3)

3x+6 = 2x+6
0=0

The variable dropped out and we had a true statement.
So there will be an infinite number of solutions since the equation is actually an identity, that is, the left side is equal to the right side

If , however, the variable drops out, and you end up with a false statement, there would be NO solution

e.g. 2x + 3 = 2(x+5)
2x + 3 = 2x + 10
3 = 10 --> false, thus no solution

ur not helping!

i have the equation:

2x + 2y = 4
6x + 6y = 6
I tried solving it by substitution but It ended in 4=4 and I don't know wether it has an infinite number of solutions or no solutions

y = x + 1

2y = 2x + 2

Now substitute y = x + 1 into the equation 2y = 2x + 2

definitely not helping

my first two lines should have said:

2x + 6 = 2(x+3)

2x+6 = 2x+6