Question

Use a system of equations to solve the following problem: Douglas High School has a total of 89 boys and girls who play sports. If the number of boys is 8 more than twice the number of girls, how many boys play sports at this high school?

54

27

81

62

Answer 1

b + g = 89 b = 2g + 8

b = 89 - g b = 2g + 8

89 - g = 2g + 8

3g = 81

g = 27

b = 62

Answer 2

The first line is the original 2 equations for the problem.
The second line sets both equation into the form "b =" for upcoming substitution.

Line 3: the substitution
Line 4: simplification
Line 5 more simplification
Line 6 is determined by substitution back into equation #1.

Answer 3

All good now?

Answer 4

ys thank you again

Answer 5

uw