We will say the smaller number is X and the larger number is Y The first sentence states y=x+3 and the second sentence states 4y=6x-13 You can use substitution in this to plug in y=x+3 into 4y=6x-13 to get 4(x+3)=6x-13 now move -13 to the other side to get 4x+16=6x then move 4x to the other side to get 16=2x giving you X X=8 Now plug in X into the equation y=x+3 y=(8)+3 giving you Y Y=11 Now plug in both X and Y to check 4(11)=6(8)-13 44=35
The y-intercept is being changed. In the equations given we are using the formula (y=mx +b), b means the y intercept. In this we are changing the y intercept from 2 to -1. There is nothing else being changed.