Solve
x + y = 100 x -y = 10
Pair of Equation

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

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).

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step-by-step explanation: