Respuesta :
lets take
x+y=100 firstly.
then x=100-y equation (i)
Now,
x-y=10
Putting value of x from equation(i)
100-y-y=10
-2y=10-100
-2y=-90
therefore, y=45
Now,
putting value of y in equation(i)
we get
x=100-45
ie x=55
hence, x=55 & y=45
Answer:
The solution is (55, 45).
Step-by-step explanation:
Solve the system of linear equations
x + y = 100
x - y = 10
through elimination by addition / subtraction.
Combining these two equations temporarily eliminates y, leaving us with 2x = 110. Then x = 55.
Substituting 55 for x in the first equation, we get:
55 + y = 100. Subtracting 55 from both sides leaves us with y = 45.
The solution is (55, 45).