Let x= the time each one paints at the same time. Painting one whole room means that the output of our equation equals....1.
x/5 = the fraction of the room Matt can paint in x hours.
x/3 = the fraction of the room Elliot can paint in x hours.
Our working equation will be: x/5+x/3 = 1
[solve for x]
[start by finding common denominator] 3x/15 + 5x/15=1
[add together] 8x/15 = 1
[isolate the variable] 8x=15
x=15/8, or 1 7/8 hours. Together, they can paint a room together in 1 7/8 hours. (An hour, 52 minutes, 30 seconds if you divide it all the way out!)
Answer: Simplifying
Step-by-step explanation:
Simplifying
4x + 6y = 12
Solving
4x + 6y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
4x + 6y + -6y = 12 + -6y
Combine like terms: 6y + -6y = 0
4x + 0 = 12 + -6y
4x = 12 + -6y
Divide each side by '4'.
x = 3 + -1.5y
Simplifying
x = 3 + -1.5y
Then you get your answer I think or hopeful get your answer. I hoped this helped!