Question

Which of the following is a solution to the system of linear equations below ? 2x+y=2 x-3y=-27

Answer 1

(-3, 8)

Explanation:

We are given two equations and we have to find the solution to the given equations. We can do this by using substitution method as shown below:

`2x+y=2` Equation 1

`x-3y=-27` Equation 2

From Equation 1, we can get the value of y as:

`y=2-2x` Equation 3

Using this value of y in equation 2, we get:

`x-3(2-2x)=-27\\\\ x-6+6x=-27\\\\ 7x=-21\\\\ x=-3`

Thus value of x is -3. Using this value in Equation 3, we get:

`y=2-2(-3)\\\\ y=2+6\\\\ y=8`

Thus the solution to the given equations is (-3, 8)