Paige was given this problem on her math homework and she came up with this answer her math teacher counted this problem wrong and paige does not know why. using complete sentences, explain what paige did wrong and how to correctly solve the problem.

The answer is incorrect, because she flipped 3/4 to 4/3. When you use 'Keep Change Flip', you keep the first fraction, change the / sign to a * sign, and flip the second fraction (or change it to it's reciprocal). 3/4 / 2/5 = 3/4 * 5/2 = 15/8 = 1 7/8.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions