2x-y=5 and x+3y=6 solve this pair of linear equation by elimination method
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By solving these linear equations 2x - y = 5 and x + 3y = 6, the values are x = 3 and y = 1.
Step-by-step explanation:
Given,
The linear equations are 2x - y = 5 and x + 3y = 6.
2x - y = 5 -- (i)
x + 3y = 6 -- (ii)
Solving by using elimination method
Multiplying equation (ii) by 2, we get
2x + 6y = 12 -- (iii)
Now, (iii) and (i), we get
6y + y = 12 - 5
⇒ 7y = 7
⇒ y = 1
and,
x + 3(1) = 6
⇒ x = 6 - 3
⇒ x = 3
Hence, by solving these linear equations 2x - y = 5 and x + 3y = 6, the values are x = 3 and y = 1.
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