Solve by elimination 9x+y=-26 5x+4y=-22

Question

asked Jul 5, 2023 20.2k views

2 Answers

Jon Sud · Answer 1 · 2023-07-06T17:48:58+0000

Answer:

x= - 82/31

y= -68/31

Explanation:

9x + y = -26 (Equation 1)

5x +4y = -22 (Equation 2)

Multiply equation 1 by the coefficient of y in equation (2) and equation 1 by the coefficient of y in equation (1)

36x + 4y = -104

- 5x + 4y = -22

___________

31x = -82

x = - 82/31

To get the y value,

Multiply equation 1 by the coefficient of x in equation 2 and equation 2 by the coefficient of x in equation 1

$\frac-{82}{31}$ 9x + y = -26 (x5)

5x + 4y =-22 (x9)

45x +5y = -130

- 45x + 36y = -198

______________

-31y=68

y= - 68/31