pls help me!

Question

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)

Answer 1

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sry for spamming...

Answer 2

y = x + 1
2y = 2x + 2

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

Answer 3

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

Answer 4

thank you Neil!!!:)

Answer 5

N/P

Answer 6

my first two lines should have said:

2x + 6 = 2(x+3)

2x+6 = 2x+6

Answer 7

TTR+S<3 i luv ur username!

Answer 8

Thank you guys!!!!!

Answer 9

x=x
because even though you don't know the value of x you don't need to so either way its true

hope this helped <3

Answer 10

ur not helping!

Answer 11

definitely not helping

Answer 12

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