Question

2x + 3y = -13 and 5x - 4y = -2 solve for x and y using elimination method​

Answer 1

Answer

x = -58/23

x = -58/23y= -183/23

Step-by-step explanation:

2x+3y= -13 (1)

5x-4y= -2 (2)

multiply equation (1) by 4

4[2x+3y]= -13×4

→ 8x+12y= -52 (3)

similarly, multiply equation (2) by 3

3[5x-4y]= -2×3

→ 15x-12y= -6 (4)

adding quation (3) & (4)

15x-12y= -6

+8x+12y= -52

__________

23x = -58

x = -58/23

put the value of x in equation (1)

2×-58/23 +3y= -13

3y= -13+116/23

y= (-299+116)/23

y= -183/23

so,

1. x = -58/23
2. y= -183/23