Respuesta :
Answer:
(-1, 3)
Step-by-step explanation:
x - 5y = -16 [Equation 1]
-x + 3y = 10 [Equation 2]
Adding both equations
- x - x - 5y + 3y = -16 + 10
- -2y = -6
- y = 3
- x - 5(3) = -16
- x - 15 = -16
- x = -1
Solution : (-1, 3)
Solving for x and y,
→ (x - 5y = -16) + (-x + 3y = 10)
→ x - 5y - x +3y = -16 + 10
→ -2y = -6
→ y = -6/-2
→ [ y = 3 ]
Finding the value of x,
→ x - 5y = -16
→ x - 5(3) = -16
→ x - 15 = -16
→ x = -16 + 15
→ [ x = -1]
___________________
→ -x + 3y = 10
→ -x + 3(3) = 10
→ -x + 9 = 10
→ -x = 10 - 9
→ [ x = -1 ]
Arranging them in ordered pair,
→ (x,y)
→ (-1,3)
Thus, the solution is (-1,3).