Application of linear equations word problem

Question

A bag is filled with green and blue marbles. There are 63 marbles in the bag. If there are 23 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.

Answer 1

The third equation is the result of substituting the value of g (g=b+23) in the second equation and simplyfing.

Subtract 23 from both sides to remove the constant from the variable side:

2b = 63 - 23 = 40

DIvide both sides by the coefficient of b:

b = 40/2 = 20

g = b + 23 = 20 + 23 = 43

Final check:

g + b = 43 + 20 = 63

Answer 2

g + b =63

g = b+ 23

2b+23=63

You finish it from here