Question

Solve for x and y: 322x+229y=780 229x+322y=873

Answer 1

Answer:

x=1,y=2

Step-by-step explanation:

322x+229y=780_______________eq1

229x+322y=873_____________eq2

adding eq1 and eq2

322x+229y+229x+322y=780+873

551x+551y=1653

x+y=3__________eq3

eq1 -eq2

322x+229y-229x-322y=780-873

93x-93y= -93

x-y= -1____________eq4

eq1+eq2

x+y+x-y=3-1

2x=2

x=1

putting x=1

x+y=3

1+y=3

y=3-1

y=2

Answer 2

Answer:

X=1 & Y=2

Step-by-step explanation:

322x+229y=780•••••••••(1)

229x+322y=873•••••••••(2)

add equation (2)&(1)

322x+229x+229x+322y=780+873

551x+551y=1653

551(x+y)=1653

X+y=3••••••••(3)

subtract equation (2)from (1)

322x-229x+229y-322y=780-873

93x-93y=-93

93(x-y)=-93

x-y=-1••••••••(4)

from equation (3)&(4)

x+y=3

x-y=-1

2x=2

x=1

put x=1 in equation (4)

1-y=-1

-y=-2

y=2