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.

answer: plz give a pic and answer choices so i can answer!

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it