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Solve the system using substitution.
X + 2y = -6
6x + 2y = 4
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Solve The System Using Substitution X 2y 6 6x 2y 4 class=

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Answer:

Step-by-step explanation:

Rearrange x+2y=-6 to solve for x:

x = -2y-6

substitute -2y-6 for x into the second equation:

6x + 2y = 4

6(-2y-6) + 2y = 4

-12y-36 + 2y = 4

-10y  = 40

y  = -4

x = -2y-6 = 2

(x,y) = (2,-4)

The solution for the system of equations is (2,-4).

The given system of equations are x + 2y = -6-----(1) and 6x + 2y = 4-----(2).

How do solve systems of equations using the substitution method?

To solve a system of equations using substitution:

  • Step 1: Isolate one of the two variables in one of the equations.
  • Step 2: Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. This should result in a linear equation with only one variable.
  • Step 3: Solve the linear equation for the remaining variable.
  • Step 4: Use the solution of Step 3 to calculate the value of the other variable in the system by using one of the original equations.

Now, rearrange x+2y=-6 to solve for x:

So, x = -2y-6

Substitute -2y-6 for x into the second equation 6x + 2y = 4.

That is, 6(-2y-6) + 2y = 4

⇒-12y-36 + 2y = 4

⇒-10y = 40

⇒y = -4

By substituting y = -4 in x = -2y-6 we get x=2.

Therefore, the solution for the system of equations is (2,-4).

To learn more about the system of equations visit:

https://brainly.com/question/21620502.

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