The third grade at millbridge school has 179 students. if there are ten more 4th graders than 3rd graders, and thirty more 5th graders than 3rd graders. how many students are in 3rd, 4th, and 5th grade?

179 students in 3rd grade, 189 4th graders, and 209 5th graders. 577 students total!

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