Answer:
x = 12 and y = 1
Explanation:
Given equations are:
(1) ------ 1 3 x − y = 3
(2)------ 2 x + y = 25
Multiply (1) by 3 to eliminate the fractional part,
(1) ------- x − 3 y = 9 ⇒ x = 9 + 3 y
-------- let this be equation (3)
Now substitute this value of
x
from (3) in equation (2),
(2) --------- 2 ( 9 + 3 y ) + y = 25 ⇒ 18 + 6 y + y = 25 ⇒ 7 y = 25 − 18 ⇒ y = 7 7
Therefore,
y = 1
Substituting this value of
y
in equation (3),
x = 9 + 3 × 1
x = 9 + 3
Therefore,
x = 12
So we have the values of
x and y as,
x = 12
and
y = 1
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