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Solve the system of equations using the substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.y=−4x−14𝑦=−4𝑥−14y=−2x−10𝑦=−2𝑥−10Solution:

Question

Solve the system of equations using the substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.y=−4x−14𝑦=−4𝑥−14y=−2x−10𝑦=−2𝑥−10Solution:

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Solution

The system of equations is:

  1. y = -4x - 14
  2. y = -2x - 10

To solve this system using the substitution method, we can substitute equation 2) into equation 1) because they are both equal to y.

So, -4x - 14 = -2x - 10

To solve for x, we can start by adding 4x to both sides to get rid of the -4x on the left side:

-14 = 2x - 10

Then, add 10 to both sides to get rid of the -10 on the right side:

-4 = 2x

Finally, divide both sides by 2 to solve for x:

x = -2

Now that we have x, we can substitute x = -2 into either of the original equations to solve for y. If we substitute it into the first equation:

y = -4(-2) - 14 y = 8 - 14 y = -6

So, the solution to the system of equations is (-2, -6).

This problem has been solved

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