Find the value of x and y, (x+y, 2x-y)= (13, 2)
2 answers:
Answer:
x = 5, y = 8
Step-by-step explanation:
Another way to write (x+y, 2x-y)= (13, 2) is
x + y = 13 -- (1)
2x - y = 2 -- (2)
using the elimilation method,
Rewriting (1), y = 13 - x --(1)'
Replacing (1)' into (2),
2x - ( 13 - x) = 2
2x - 13 + x = 2
3x = 15
x = 5 -- (3)
Replacing (3) into (1),
5 + y = 13
y = 8 -- (4)
Accorindg to (3) and (4),
x = 5, y = 8
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Answer:
Step-by-step explanation:
comparing corresponding elements
x + y = 13
2x - y = 2
Now use substitution method.
x + y = 13
x = 13 - y equation(i)
substitute the value of x
2x - y = 2
2(13 - y) - y = 2
26 - 2y - y = 2
-3y = 2 - 26
y = -24/-3
y = 8
substitute the value of y in eqaution(i)
x = 13 - y
x = 13 - 8
x = 5
therefore , x = 5 and y = 8
To check :
x + y = 13
when we add x and y then must come 13
5 + 8 = 13
13 = 13
2x - y = 13
substitute the value of x and y . REsult must come 2
2*5 - 8 = 2
10 - 8 = 2
2 = 2
10 - 8 = 2
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