Respuesta :

carlosego

For this case we have the following system of equations:

[tex]y + 2x = -1\\y = \frac {1} {2} x + 4[/tex]

Substituting the second equation into the first we have:

[tex]\frac {1} {2} x + 4 + 2x = -1[/tex]

We add similar terms:

[tex](\frac {1} {2} +2) x + 4 = -1\\\frac {1 + 4} {2} x + 4 = -1\\\frac {5} {2} x + 4 = -1[/tex]

We subtract 4 from both sides:

[tex]\frac {5} {2} x = -1-4\\\frac {5} {2} x = -5[/tex]

We multiply by 2 on both sides:

[tex]5x = -10[/tex]

We divide between 5 on both sides :

[tex]x = \frac {-10} {5}\\x = -2[/tex]

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

Answer:

[tex]x = -2[/tex]

akposevictor

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.

  • Rewrite Eqn. 1 to make y the subject of the formula

y + 2x = -1  ---> Eqn. 1

  • Subtract 2x from each side of the equation

y = -1 - 2x

  • Substitute y for (-1 - 2x) into eqn. 2

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

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

  • Add 1 to both sides of the equation

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

-2x = 1/2x + 5

  • Multiply both sides by 2

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

-4x = x + 10

  • Subtract both sides by x

-4x - x = 10

-5x = 10

  • Divide both sides by -5

x = -2

Learn more about system of equations on:

https://brainly.com/question/11767839

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