5x+4=5x+4 is it one solution, no solution, or infinite solutions?
2 answers:
Answer: infinite solutions Simplifying 5x + 4 = 5x + 4 Reorder the terms: 4 + 5x = 5x + 4 Reorder the terms: 4 + 5x = 4 + 5x Add '-4' to each side of the equation. 4 + -4 + 5x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 0 + 5x = 4 + -4 + 5x 5x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
Infinite solutions
Try to solve this equation:
5x+4=5x+4
Move all the variables to the left:
5x-5x+4=4
Do you see what I see?
4=4
We end up with a true statement. 4 does indeed equal 4. Hope this helps!
~Just a joyful teen
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