Question

5x + y = 2 and 6x - 3y=1 by subsitution method

Answer 1

Hey!!


Refer to the attachment


Therefore the value of x is 1 / 3 and y is 1 / 3



Hope it helps!

Answer 2

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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