Question

ax + by=c and bx+ay=1+c solve by elimination. method. 2. 152-378=-74 and -378+152=-604 by elimination method​

Answer 1

x = ac-b-bc

_______

a²-b²

y = a + ac -bc

__________

a²-b²

Step-by-step explanation:

Given system of equations:

ax+by=c ---(1)

bx+ay=1+c ----(2)

multiply equation (1) by a, and equation (2) by b , we get

a²x+aby=ac---(3)

b²x+aby=b+bc---(4)

Subtract (4) from (3) , we get

(a²-b²)x= ac-b-bc

x = ac-b-bc

_______

a²-b²

Now,

multiply equation (1) by b, and equation (2) by a , we get

abx+b²y=bc---(5)

abx+a²y=a+ac---(6)

Subtract (5) from (6), we get

(a²-b²)y = a+ac-bc

y = a + ac -bc

__________

a²-b²