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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=x+12𝑦=𝑥+12y=2x+18𝑦=2𝑥+18Solution:

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=x+12𝑦=𝑥+12y=2x+18𝑦=2𝑥+18Solution:

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Solution

First, we have two equations:

  1. y = x + 12
  2. y = 2x + 18

We can use the substitution method to solve this system of equations.

Step 1: Since y = x + 12 from the first equation, we can substitute y in the second equation with x + 12.

So, the second equation becomes: x + 12 = 2x + 18

Step 2: To solve for x, we can subtract x from both sides of the equation to get: 12 = x + 18

Step 3: Then, subtract 18 from both sides to solve for x: x = -6

Step 4: Substitute x = -6 into the first equation to solve for y: y = -6 + 12 = 6

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

This problem has been solved

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