5x + y = 2 and 6x - 3y=1 by subsitution method
Answers
Refer to the attachment
Therefore the value of x is 1 / 3 and y is 1 / 3
Hope it helps!
Concept
To solve a set of two linear equations of two variables, the substitution method is very easy. In the substitution method we calculate the value of first variable in term of the other variable and then use this value in the second equation. After simplifying the equation the value of one of them is calculated.
Given
The equations are,
5x + y = 2.....(1)
6x - 3y = 1.....(2)
Find
We have to calculate the value of the variables x and y.
Solution
From equation (1), we have the value of y in term of x
y = 2 - 5x......(3)
Using equation (3) in equation (2), we get
6x - 3*(2 - 5x) = 1
6x - 6 + 15x = 1
21x = 7
x = 1/3
Putting this value in equation (3) we have
y = 2 - 5*(1/3)
y = 1/3
Hence the value of the variables x and y are 1/3 and 1/3 respectively.
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