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