Gcf and lcm:

this year, there are 12 boys and 18 girls in the ski club. coach link wants to form teams with the same number of girls and the same number of boys on each team.

a. what is the greatest number of teams that can be formed? explain how you found the answer.

b. how many boys and how many girls will be in each team?

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