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**Equation A: x - y = - 3**

**Equation B: 3x + y = 19**

**Solve by substitution:**

**Equation A:**

**x - y = - 3**

**x = y - 3**

**Substitute "y - 3" to "x" in Equation B:**

**3x + y = 19**

**3(y - 3) + y = 19**

**3y - 9 + y = 19**

**3y + y - 9 = 19**

**4y = 19 + 9**

**4y = 28**

**4y/4 = 28/4**

__y = 7__

**Substitute "7" to "y" in Equation A:**

**x - y = -3**

**x - 7 = -3**

**x = -3 + 7**

__x = 4__

__x = 4__

__y = 7__

**To check:**

**Equation A:**

**x - y = -3**

**4 - 7 = -3**

**-3 = -3**

**Equation B:**

**3x + y = 19**

**3(4) + 7 = 19**

**12 + 7 = 19**

**19 = 19**

**The system has one solution (4,7)**

**The lines are intersecting, and the point of intersection is (4,7).**

**The system has different slopes and y-intercepts.**

**The system is consistent and independent.**