What is the value of x in the solution to this system of equation
y + 2x = -1
y = 1/2x + 4

By applying the substitution method, the value of x in the solution to the system of equations given is: x = -2

Given the system of equations:

y + 2x = -1 ---> Eqn. 1

y = 1/2x + 4 ---> Eqn. 2

Solve the system of equations using the substitution method.

y + 2x = -1  ---> Eqn. 1

y = -1 - 2x

y = 1/2x + 4 ---> Eqn. 2

-1 - 2x = 1/2x + 4

-2x = 1/2x + 4 + 1

-2x = 1/2x + 5

2(-2x) = (1/2x)(2) + (5)(2)

-4x = x + 10

-4x - x = 10

-5x = 10

x = -2

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For this case we have the following system of equations:

Substituting the second equation into the first we have:

We add similar terms:

We subtract 4 from both sides:

We multiply by 2 on both sides:

We divide between 5 on both sides :

Thus, the value of the variable x is -2.

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