Answer:
10 boys, 15 girls
Step-by-step explanation:
Original ratio: 2 boys/3 girls
let x be the scale factor of the ratio
2x plus 5 boys over 3x girls = 1 (because the # of boys/girls are the same)-------> 2x+5/3x = 1
Simplify: 2x+5=3x
Simplify: 5=x
plug x back into the original ratio: 10/15
Check: 10/15 = 2/3
10 boys + 5 boys = 15, 15/15 = 1
Point slope for will always be y=mx+b
But the problem is, you don’t have the slope..
Answer:

Step-by-step explanation:
Use the distributive property, remove the parentheses, and collect the terms.
12. Collect terms.
... = x(1/2 - 2 1/4) + (-7 +2) = (-1 3/4)x -5 . . . . matches a)
13. Undo what is done to x. Perform the operations on both sides of the equation.
... 3x -4 = -22 . . . . multiply by -2 to undo multiplication by -1/2
... 3x = -18 . . . . . . . add 4 to undo subtraction of 4
... x = -6 . . . . . . . . . divide by 3 to undo the multiplication by 3
The value of x is -6.