Q. Fill in the hubbles to indicate the number of solutions for each equation.SolutionOneInfinitelyManySolutionSolutions5(2m−5)=8m−25+2m
Combine Like Terms: Now, let's combine like terms on the right side of the equation: 8m+2m gives us 10m. So the equation simplifies to 10m−25=10m−25.
Subtract 10m: Next, we can subtract 10m from both sides to try and isolate the variable m. But when we do that, we get −25=−25, which means the m terms cancel out.
Infinitely Many Solutions: Since we're left with a true statement that doesn't contain the variable m, this means that any value for m will satisfy the equation.Therefore, the equation has infinitely many solutions.