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## Answers

**Solve by substitution:**

Equation 1: 9x - 5y = 8

Equation 2: 15x - 15y = 1

15x = 1 + 15y

15x/15 = 1/15 -+15y/15

x = y + 1/15

**Solution:**

**Step 1: Substitute y + 1/15 for x in Equation 1**

9x - 5y = 8

9 (y+ 1/15) - 5y = 8

9y + 9/15 - 5y = 8

9y - 5y = 8 -9/15

4y = 8 - 3/5

20y = 40 - 3

20y = 37

20y/20 = 37/20

**y = 37/20**

**Step 2: Substitute 37/20 for y in:**

x = y + 1/15

x = 37/20 + 1/15

x = 111/60 + 4/60

**x = 115/60 or 23/12**

**Check:**

9x - 5y = 8

9(23/12) - 5(37/20) = 8

69/4 - 37/4 = 8

32/4 = 8

8 = 8 (true)

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15x -15y = 1

15(23/12) - 15(37/20) = 1

115/4 - 111/4 = 1

4/4 = 1

1 = 1 (true)