Question

Could I please get help on this word problem answer 13

Answer 1

Let y = the larger number; and x = the smaler number.

Step 1.

Set up a system of equations:

y - x = 1 eq. 1

3y - 2x = 9 eq 2.

Step 2.

Solve the system by elimination:

1. Multiply eq. 1. by -3:

-3y + 3x = - 3 eq 3.

2. Subtract eq. 2. from eq. 3.:

-3y + 3x = - 3

3y - 2x = 9

_____________

x = 6

3. Substituting x = 6 on eq. 1:

y - x = 1

y - 6 = 1

y = 7

Answer: The larger number is 7.