Question

Solve and check each system of equations by substitution method 4x + y = -2
(2x=-y​

Answer 1

x=-1 and y=2

Explanation:

Given,
`4x + y = -2` and
`2x=-y`

Solution,
`4x + y = -2` equation 1

`2x=-y\\y\ =-2x`

Now substituting the value of y in equation 1, we get;

`4x + (-2x) = -2\\4x-2x\ =-2\\2x=-2\\x=-1`

Now
`y =-2x = -2*-1=2`

So the solution of the given equation is x=-1 and y=2

Check:

Substituting the value of x and y in equation 1 we get;

`4x + y = -2\\4*-1+2=-2\\-4+2=-2\\-2=-2`

L.H.S=R.H.S

Substituting the value of x and y in equation 2 we get;

`2x=-y\\2*-1= -2\\-2=-2`

L.H.S=R.H.S