Use elimination to solve each system below. System 1
2x + 3y = 6
- 2x - y = – 6
System 2
2x + 3y = 6
x + y = 4
Enter the values of x and y in the solution for each system in the following table.
value of x
value of y
System 1 1
System 2

System 1 : {3,0};  System 2 : {6,-2}

Step-by-step explanation:

2x + 3y = 6

-2x - y = -6

2y = 0

y = 0

-2x = -6

x = 3

system 2

2x + 3y = 6

2x + 2y = 8

y = -2

2x -4 = 8

2x = 12

x = 6

  6.0 miles

Step-by-step explanation:

The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...

  S7 = a1·(r^7 -1)/(r -1)

  56.923 = a1·(1.1^7 -1)/(1.1 -1)

  5.6923 = a1·0.9487171

Dividing by the coefficient of a1 gives its value:

  5.6923/0.9487171 ≈ 5.999997 ≈ 6.000

The hiker traveled 6.0 miles on the first day.