Question

Solve the system of equations. 6x-5y=-32 -7x+8y=46 ​

Answer 1

Answer:

6x-5y=-32 .........(1)

-7x+8y=46 ........(2)

mutiple (1) by 7 and (2) by -6

42x-35y=-224

42x-48y=-276

from(1)and (2)

42x-35y=-224

42x-48y=-276

(-) (+) (+)

13y = 52

y = 52/13

y = 4

putting y = 4 in (1)

6x-5 ×4= -32

6x -20=-32

6x = -32+20

6x = -12

x = -12/6

x = -2

so,the solution is x = -2 and y= 4