find three consecutive intergers,

Question

such that seven times the third, minus five times the the second, is the same as four times the first, plus one

then i have to.

1.represent each interger

2.write an equation using the unknowns

3.solve for three intergers

Answer 1

x, x+1, and x+2 are the integers

 

7(x+2)-5(x+1)=4x+1

 

7x+14-5x-5=4x+1

2x+9=4x+1

9-1=4x-2x

8=2x

x=8/2

x=4, x+1=5, x+2=6

4, 5, and 6 are the integers

 check: 7*6-5*5=4*4+1

            42-25=16+1

                 17=17